Help with this question please! Give explanation! Big points

Question

asked Sep 24, 2021 36.7k views

1 Answer

Sergey Yarotskiy · Answer 1 · 2021-10-01T03:23:40+0000

Answer:

y = 2

Explanation:

This answer is easily found using the Pythagorean Theorem:

${a}^(2) + {b}^(2) = {c}^(2)$

where A and B are the legs, and C is the hypotenuse of the triangle.

${(16)}^(2) + {(6y)}^(2) = {(10y)}^(2) \\ 256 + 36{y}^(2) = 100 {y}^(2) \\ 256 = 64 {y}^(2) \\ √(256) = \sqrt{64 {y}^(2)} \\ 16 = 8y \\ y = 2$