Question

What is the unknown side length, p, in the triangle shown below? ​

Answer 1

Answer:

9

Step-by-step explanation:

To solve this, you need to find the proportion.

p is a leg of the large triangle, and the leg to the small triangle is 6.

8 is another leg of the small triangle, and 8+4 is the leg of the large triangle.

So $\frac{small triangle}{big triangle} = \frac{small triangle}{big triangle\\}$

$\frac{8}{12} =\frac{6}{p}$

$\frac{2}{3} =\frac{6}{p}$

cross multiply to get 2p=18

divide both sides by 2

p=9.