In a 30-60-90 triangle, the hypotenuse is 20 feet long. Find the length of the length of the long leg and the short leg

Question

Mathematics

Talan Gross

4 September, 16:12

In a 30-60-90 triangle, the hypotenuse is 20 feet long. Find the length of the length of the long leg and the short leg

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Answers (1)

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Sofia Barry · Answer 1

In 30-60-90 triangle there is a rule that leg opposite to 30 degree angle is 2x shorter than hypotenuse. That means that shorter leg is 10 feet long.

longer leg we can calculate using Pythagoras theorem.

20^2 = 10^2 + x^2

x^2 = 300

x = √300 = 10√3