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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

Find the length of side BY for the given triangle. option 1- 10 square root 2 option-example-1

1 Answer

3 votes

Answer:

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) }}

User Jimbo Jonny
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