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What is the value of y in the triangle?

a 30-60-90 triangle with long leg length y and hypotenuse length 6

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Sagot :

dudleycierra024

Answer: In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. The shorter leg is the side opposite the 30 degree angle, therefore the shorter leg = 30/2 = 15

By the Pythagorean theorem

the longer leg = √(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units

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