One more - I am very confused right now. The legs of an isosceles triangle have lengths x + 1 and -x + 7 . The base has length 3x - 3. What is the length of the base? A. 4 B. 6 C. Cannot be determined D. 3

QUESTION POSTED AT 23/05/2020 - 04:18 PM

Answered by admin AT 23/05/2020 - 04:18 PM

In order to find the length of the base we have to find x.

Now we know that an isosceles triangle has two sides that are congruent and a base.

We know that the two sides are x +1 and -x + 7

We can figure out x by making these two equal each other.

x + 1 = -x + 7  *first step is to get you x's together* 

+x     = +x    *Now the x's cancel on the right side. and group them on the left*

2x + 1 = 7  * Now subtract 1 form both sides*

     - 1   = - 1   * Solve the right side.

2x  = 6  * divide both sides by 2 to isolate the x to be alone*

÷2  = ÷2  * solve the right side.

x =  3


Now we know x lets plug in that number for the Length of the base.

3(3) - 3

9 - 3 = 6

So your answer is B. 6


Good Luck! :)

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