Solve for x in the right triangle. i'm stuck on the early units in my final it would mean the world to me if someone could explain this. Thanks in advance.

QUESTION POSTED AT 16/04/2020 - 06:37 PM

Answered by admin AT 16/04/2020 - 06:37 PM

Wel have to use the Pythagorean theorem (a^2) + (b^2) = (c^2)

look at the top triangle inside the big triangle. we know it's 2 sides but not the hypotenuse. one side would be 25 - 9 = 16 and other side is x. So so from theorem we know
16^2 + x^2 = h^2

with bottom triangle we can see the same thing but with 9 and x as the sides so:
9^2 + x ^2 = H^2 (capital H to distinguish them)

we also know that in the main triangle:
h^2 + H^2 = 25^2

now all we have to do is find a way to use these 3 equations to get the answer

we know what h^2 and H^2 both equal and can plug them into equation in orsee to get rid of one and solve for the other. So we use:
9^2 + x ^2 = H^2

and plug it into
h^2 + H^2 = 25^2

and get
h^2 + 9^2 + x ^2 = 25^2

solve for h^2
25^2 - x^2 - 9^2 = h^2

now plug what we got for h^2 into:
16^2 + x^2 = h^2

and get:
16^2 + x^2 = 25^2 - x^2 - 9^2

2x^2 = 25^2 - 16^2 - 9^2
2x^2 = 288
x^2 = 144
x = 12

there is your answer
Post your answer

Related questions

How would i solve something like 15/3?

QUESTION POSTED AT 01/06/2020 - 04:47 PM

The lengths of three sides of a quadrilateral are shown below: Side 1: 3y2 + 2y − 6 Side 2: 3y − 7 + 4y2 Side 3: −8 + 5y2 + 4y The perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26. Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points) Part B: What is the length of the fourth side of the quadrilateral? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) QUESTION 2: A rectangle has sides measuring (4x + 5) units and (3x + 10) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) QUESTION 3: A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2. Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points) Part B: How large is the area of spilled paint after 2 minutes? You may use 3.14 to approximate π in this problem. (4 points)

QUESTION POSTED AT 01/06/2020 - 04:46 PM