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

Question

asked Sep 1, 2020 215k views

1 Answer

Eadjei · Answer 1 · 2020-09-05T12:06:34+0000

Answer:

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.

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

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

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

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.