Find the missing side lengths leave your answerss as radicals

x = 8, y = 4

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = , thus

sin60° = = = ( cross- multiply )

x × = 8 ( divide both sides by )

x = 8

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To find y use the tangent ratio in the right triangle and the exact value

tan60° = , thus

tan60° = = = ( multiply both sides by y )

4 = y × ( divide both sides by )

y = 4

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: