Question

Find the value of y.
A. 4
B. 6
C. 10
D. 12

Answer 1

D. 12

Step-by-step explanation:

We have been given a diagram of a triangle. We are asked to find the value of y for our given triangle.

First of all, we will find 3rd side of larger triangle using Pythagoras theorem.

`\text{3rd side}^2=16^2-8^2`

`\text{3rd side}^2=256-64`

`\text{3rd side}^2=192`

`\text{3rd side}^2=192`

We will use geometric mean (leg) theorem to solve our given problem.

`\text{3rd side}^2=y* 16`

`192=y* 16`

`(192)/(16)=(y* 16)/(16)`

`y=12`

Therefore, the value of y is 12 and option D is the correct choice.