The orthocenter of an obtuse triangle always lies __________. A.on a vertex of the triangle B.on the inside of the triangle C.on the outside of the triangle D.on the triangle

QUESTION POSTED AT 18/01/2020 - 06:09 AM

Related questions

Two sides of a triangle measure 5 in. and 12 in. Which could be the length of the third side? 3 in. 6 in. 10 in. 18 in.

Answer:

The possible answer is 10 in.

Step-by-step explanation:

Two sides of a triangle measure 5 in. and 12 in.

If three side of triangle are a, b and c then sum of two side is always greater than third side.

Sum of two side greater than third side.  

a+b>c

a+c>b

b+c>a

Difference of two side is less than third side.

a-b<c

b-c<a

a-c<b

Here, we are given two sides of a triangle 5 in and 12 in.

Possible length of third side be

12-5 < c < 12+5

7<c<17

Third side must be lie between 7 to 17.

According to option, Third side must be equal to 10 in.

Hence, The possible answer is 10 in.

ANSWERED AT 20/02/2020 - 10:45 PM


QUESTION POSTED AT 20/02/2020 - 10:45 PM

An equilateral triangle has a perimeter of 48 centimeters. If the triangle is dilated by a factor of .75 ,what is the length of each side of the new triangle?

Length of triangle 48/3=16
75/100*16=12
length of new triangle=16+12=28

ANSWERED AT 20/02/2020 - 10:33 PM


QUESTION POSTED AT 20/02/2020 - 10:33 PM

Find the perimeter of the triangle shown ( need fast)

You just add all of the sides together

4.5+5.5+6= 16in.

ANSWERED AT 20/02/2020 - 10:31 PM


QUESTION POSTED AT 20/02/2020 - 10:31 PM

Two sides of a triangle are 5cm and 7cm what is the third side

7cm because two sides of a triangle are equal so the shortest side is the bottom and the other two sides are equal 7cm

ANSWERED AT 20/02/2020 - 10:29 PM


QUESTION POSTED AT 20/02/2020 - 10:29 PM

If triangle ABC has A=52, side a=200, and side b= 234, then which of the following is true?

Please provide more information or a picture.

ANSWERED AT 20/02/2020 - 10:25 PM


QUESTION POSTED AT 20/02/2020 - 10:25 PM

Ted has the following triangle dimensions. side length of 8 side length of 14 side length of 23 How many triangles can he construct? A.He can construct only one triangle. B.He can construct two triangles. C.He can construct three triangles. D.He cannot construct a triangle.

Answer:

Step-by-step explanation:

He can not construct a triangle because when you add up two of the side lengths they are supposed to be greater the the remaining side length for example 8+14>23 would be incorrect because 8+14  equals 22 which means it would not be greater than 23 and therefore that is why he can not construct a triangle.

ANSWERED AT 20/02/2020 - 10:22 PM


QUESTION POSTED AT 20/02/2020 - 10:22 PM

The triangle and the trapezoid have the same area.Base b(two) is twice the length of base b( one).What are the lengths of the bases of the trapezoid? Triangle:- b=21 cm &h=6cm. Trapezoid:-h=6cm

Answer:

b2 = 14

b1 = 7

Step-by-step explanation:

Area_triangle = 1/2 * b * h

Area _trapezoid = (b1 + b2)*h1/2

Since the areas of the two figures are the same, we get

1/2 * b * h = (b1 + b2)*h1/2                 multiply both sides by 2.

b*h = (b1 + b2) * h1

b=21

h = 6

2*b1 = b2

21*6 = (b1 + 2*b1)*6                             Divide by 6

21 = 3*b1                                              Divide by 3

7 = b1

2*b1 = b2

b2 = 14

ANSWERED AT 20/02/2020 - 10:11 PM


QUESTION POSTED AT 20/02/2020 - 10:11 PM

Classify the triangle with angles measuring 85°, 60°, and 35°. A. Right B. Acute C. Obtuse

B acute because they r all smaller then 90

ANSWERED AT 20/02/2020 - 09:54 PM


QUESTION POSTED AT 20/02/2020 - 09:54 PM

Triangle XYZ is reflected across the y -axis to form triangle X'Y'Z'. Triangle X'Y'Z' is dilated by a scale factor of 2 to form triangle X”Y”Z” . Which statements correctly describe triangle XYZ, triangle X'Y'Z', and triangle X”Y”Z”. Answer Choices: A. Triangle XYZ is congruent to triangle X'Y'Z'. B. Triangle X'Y'Z' is congruent to triangle X”Y”Z”. C. Triangle XYZ is similar to triangle X”Y”Z”. D. Triangle X”Y”Z” has longer side lengths than triangle XYZ.

⇒ΔXYZ -------Reflected----------ΔX'Y'Z'--------Dilated by a scale factor of 2 to Obtain ------------ΔX"Y"Z".

When two objects are compared ,such that one of which is reflection of other , the two Geometrical shape are Congruent.The Meaning of Congruent is Corresponding Sides as well Corresponding Angles are equal.

So, ΔXYZ≅ΔX'Y'Z'

⇒When One Image is dilation of Other, the two Geometrical shapes are Similar.

When shapes are Similar, Corresponding Sides are Proportional and Corresponding Angles are equal.

 ⇒ ΔXYZ ~ ΔX'Y'Z'

Remember this Property

Congruent shapes are always Similar, but Similar shapes are not always Congruent.

Correct Statements are

Option A: →Triangle XYZ is congruent to triangle X'Y'Z'.

Option C: →Triangle XYZ is similar to triangle X”Y”Z”.

Option D:→Triangle X”Y”Z” has longer side lengths than triangle XYZ.

ANSWERED AT 20/02/2020 - 09:30 PM


QUESTION POSTED AT 20/02/2020 - 09:30 PM

Find the area of a triangle: base 14 cm, height 5.5 cm

Area of a triangle= 1/2bh
14x5.5=77
77/2=38.5cm^2

ANSWERED AT 20/02/2020 - 01:34 PM


QUESTION POSTED AT 20/02/2020 - 01:34 PM

Given the triangle below, which of the following is a correct statement? Right triangle ABC with AB measuring 5, AC measuring 6, and BC measuring 8. cot angle B equals 6 over 5 csc angle C equals 3 over 4 cot angle C equals 8 over 5 csc angle B equals 4 over 3

Answer:

option 4: Cosec ∠B equals 4 over 3

Step-by-step explanation:

Given :In Right triangle ABC  

AB = 5


AC = 6


BC = 8.  

Solution : we will use trigonometric ratios

.

Since we know that options are given for cot angle and cosec angle


So, we will consider trigonometric ratios of cosec angle and cot angle i.e.


cosec θ= Hypotenuse/Perpendicular


cotθ = Base/Perpendicular


Option 1 : cot angle B equals 6 over 5

Since cotθ = Base/Perpendicular


For ∠B base is AB and perpendicular is AC (refer the attached figure )

therefore , Cot ∠B  = AB/AC

Cot ∠B = 5/6

Thus Cot ∠B  equals 5 over 6

while we are given cot angle B equals 6 over 5

Hence option 1 is wrong

Now, consider option 2 cosec angle C equals 3 over 4

cosec θ = Hypotenuse/Perpendicular


For ∠C  perpendicular is AB and Hypotenuse is BC(refer the attached figure )

therefore , Cosec ∠C = BC/AB

Cosec ∠C = 8/5

Thus Cosec ∠C  equals 8 over 5

while we are given Cosec ∠C equals 3 over 4.

Hence option 2 is wrong.

Now, consider option 3 cot angle C equals 8 over 5

Since cotθ = Base/Perpendicular


For ∠C base is AC and perpendicular is AB (refer the attached figure )

therefore , Cot ∠C = AC/AB

Cot ∠B = 6/5

Thus Cot ∠C equals 6 over 5

while we are given cot angle C equals 8 over 5

Hence option 3 is wrong.

Now, consider option 4 cosec angle B equals 4 over 3

cosec θ = Hypotenuse/Perpendicular


For∠B perpendicular is AC and Hypotenuse is BC(refer the attached figure )

therefore , Cosec ∠B = BC/AC

⇒Cosec ∠B = 8/6

Cosec ∠B = 4/3

Thus Cosec ∠B equals 4 over 3

And we are given the same Cosec ∠B equals 4 over 3.

Hence option 4 is correct.

ANSWERED AT 20/02/2020 - 01:31 PM


QUESTION POSTED AT 20/02/2020 - 01:31 PM

Which case allows for more than one triangle with the given measures to be constructed? A.three sides measuring 9 meters, 5 meters, and 5 meters B.three sides measuring 6 inches, 3 inches and 9 inches C.three angles measuring 25°, 25°, and 130° D.three angles measuring 55°, 25°, and 125°

A.three sides measuring 9 meters, 5 meters, and 5 meters

--> only one isosceles triangle

B.three sides measuring 6 inches, 3 inches and 9 inches

--> none triangle may be formed because 9 = 3 + 6 and there is a rule (the triangle inequality theorem) that states the length of any side must be less than the sum of the lengths of other two sides.  

C.three angles measuring 25°, 25°, and 130°

--> 25 + 25 + 130 = 180 => you can construct many triangles with these angles

D.three angles measuring 55°, 25°, and 125°

--> 55 + 25 + 125 = 205 > 180 => you cannot construct any triangle with theses measures.

ANSWERED AT 20/02/2020 - 01:16 PM


QUESTION POSTED AT 20/02/2020 - 01:16 PM

The weight of 1m^3 of air is approximately 1.3×10^3g. suppose that the volume of air inside of a building is 3×10^6 m^3. How much does the air inside the building weight?

82 X 10-6 glm3of pollutants in the air. ... The weight of 1m3 of air is approximately 1.3 X 103g.Suppose that the volume of air inside of a building is 3 x 106 m3.

ANSWERED AT 20/02/2020 - 12:07 PM


QUESTION POSTED AT 20/02/2020 - 12:07 PM

Cos Ф<0 and tan Ф >0 Determine the quadrant that the terminal side of Ф lies

Cosine is negative in Quadrant II and III
Tangent is positive in Quandrant I and III
Theta is in Quadrant III

ANSWERED AT 20/02/2020 - 11:55 AM


QUESTION POSTED AT 20/02/2020 - 11:55 AM

One triangle on a graph has a vertical side of 7 and a horizontal side of 12. Another triangle on a graph has a vertical side of 28 and a horizontal side of 48. Could the hypotenuses of these two triangles lie along the same line?

Answer:

Yes because all the triangles can fit along this line

Step-by-step explanation:

just do the math!

7 x 4 = 28

12 x 4 = 48

The higher numbers might be higher on the line but still in the same line :)

ANSWERED AT 20/02/2020 - 11:52 AM


QUESTION POSTED AT 20/02/2020 - 11:52 AM

Name the triangles that are classified by angles 1. right, scalene, isosceles 2. scalene, isosceles, equilateral 3. acute, right, obtuse 4. obtuse, isosceles, acute

Number 3.  because, obtuse, right, and acute are different types of angles and are types of triangles. 

ANSWERED AT 20/02/2020 - 11:25 AM


QUESTION POSTED AT 20/02/2020 - 11:25 AM

El jardín del Wilson cubre un acre. Una cuarta parte del jardín está plantada con flores. El resto es verduras. ¿Qué parte de un acre se planta con flores? ¿Con vegetales?

1/4, 25%, o .25 del jardín estaba cubierto de flores. 3/4, 75% o .75 del jardín estaba cubierto con verduras.
 
Espero que esto fue útil!

ANSWERED AT 19/02/2020 - 01:44 PM


QUESTION POSTED AT 19/02/2020 - 01:44 PM

In the figure below, CEF is an equilateral triangle. Points B, C and E are collinear; Points A, C and F are collinear; g = 40 degrees; and k = 45 degrees. Find angle l. Show all work.

There exists the same question with the figure as shown in the attachment.

The given are:
g = 40 degrees
k = 45 degrees

Ask:
angle of " l "

So this is how to solve this:

Step 1:
Since CEF is an equilateral triangle, then each has 60 degrees.
i is equal to l because they are opposite angles

Step 2:
angle l is inside CEF, then the value of angle l is 60

ANSWERED AT 19/02/2020 - 12:21 PM


QUESTION POSTED AT 19/02/2020 - 12:21 PM

Can a quadrilateral have 4 obtuse angels

Yes, the shape is a very rare shape that not many people know about

ANSWERED AT 19/02/2020 - 10:48 AM


QUESTION POSTED AT 19/02/2020 - 10:48 AM

Triangles RQS and NTV have the following characteristics: • Right angles at ∠Q and ∠T • RQ ≅ NT Can it be concluded that ΔRQS ≅ ΔNTV by SAS? Why or why not? a. Yes, one set of corresponding sides and one corresponding angle are congruent. b. Yes, they are both right triangles. c. No, it is necessary to know that another set of corresponding sides is congruent. d. No, it is not possible for the triangles to be congruent

SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

In the given triangles RQS and NTV ,RQ ≅ NT and <∠Q ≅ ∠T .We need one more side to be equal to prove the triangles to be congruent.

Among all the options option  c. No, it is necessary to know that another set of corresponding sides is congruent is the right answer.


ANSWERED AT 19/02/2020 - 01:06 AM


QUESTION POSTED AT 19/02/2020 - 01:06 AM

Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?

Answer:

Rotation about 90° counter clockwise (x , y)  →→ ( -y, x ).

Step-by-step explanation:

Given  : Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices  X'(–3, 1), Y'(0, 0), and Z'(–2, –1).

To find : Which rule describes the transformation.

Solution : We have given

vertices X(1, 3) →→ X'(–3, 1)

Y(0, 0) →→ Y'(0, 0),

Z(–1, 2) →→ Z'(–2, –1).

Here , we can see in each coordinates value of y become -x and x  become y.

(x , y)  →→ ( -y, x ) this the rule of rotation about 90° counter clockwise.

Therefore,  rotation about 90° counter clockwise (x , y)  →→ ( -y, x ).

ANSWERED AT 19/02/2020 - 12:56 AM


QUESTION POSTED AT 19/02/2020 - 12:56 AM

A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?

Answer

The rule of rotation R_{270^{\circ}} about the origin in counter-clockwise is given by:

(x,y) \rightarrow (y, -x)

The rule of rotation of R_{270^{\circ}} about the origin in clockwise is given by:

(x,y) \rightarrow (-y, x)

Given the coordinates of triangle RST :

R(1, 1)

S(-2, -4)

T(-3, -3)

We have to find the coordinates of S'

Apply the rule of rotation 270 degree counterclockwise on RST:

To find the S'

S(-2,-4) \rightarrow (-4, -(-2))=S'(-4, 2)

Apply the rule of  rotation 270 degree clockwise we have;

S(-2,-4) \rightarrow (-(4), -2)=S'(4, -2)

Therefore, the coordinates of S' counterclockwise  is: (-4, 2) and clockwise is: (4, -2)

ANSWERED AT 19/02/2020 - 12:49 AM


QUESTION POSTED AT 19/02/2020 - 12:49 AM

What is the name of a triangle that has two sides of equal length?

Isosceles Triangle has 2 equals sides

ANSWERED AT 19/02/2020 - 12:42 AM


QUESTION POSTED AT 19/02/2020 - 12:42 AM