Question

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

Answer 1

9

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
`(small triangle)/(big triangle) = (small triangle)/(big triangle\\)`

`(8)/(12) =(6)/(p)`

`(2)/(3) =(6)/(p)`

cross multiply to get 2p=18

divide both sides by 2

p=9.