What is the value of x in the triangle?

Titanofold asked Dec 15, 2023

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34 votes

Titanofold asked Dec 15, 2023

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17 votes

Answer:

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)

Kenn Sebesta answered Dec 21, 2023

3.3k points

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