Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
This answer is easily found using the Pythagorean Theorem:
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
where A and B are the legs, and C is the hypotenuse of the triangle.
[tex] {(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[/tex]
