Question

Help with this question please! Give explanation! Big points

Answer 1

Answer:

$y = 2$

Step-by-step 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.

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