Question

Find the length of side BY for the given triangle.

option 1- 10 square root 2
option 2- square root 2 over 10
option 3- 5 square root 2
option 4- 5

Answer 1

option 3- 5 square root 2

Explanation:

`\sin 45° = (BY)/(OY) \\ \\ (1)/( √(2) ) = (BY)/(10) \\ \\ BY = (10)/( √(2) ) \\ \\ BY = (10 * √(2) )/( √(2) * √(2) ) \\ \\ BY = (10 √(2) )/(2 ) \\ \\ \huge \red{ \boxed{BY = 5 √(2) }}`