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svetlana [45]
3 years ago
7

In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
<span>In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. 
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15

<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
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