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What is the value of x in the triangle?

What is the value of x in the triangle?-example-1

1 Answer

9 votes

Answer:

D

Explanation:

using the sine ratio in the right triangle and the exact value

sin45° =
(√(2) )/(2) , then

sin45° =
(opposite)/(hypotenuse) =
(x)/(4) =
(√(2) )/(2) ( cross- multiply )

2x = 4
√(2) ( divide both sides by 2 )

x = 2
√(2)

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