In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.

Question

Mathematics

Neveah Gutierrez

13 September, 03:59

In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.

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Answers (1)

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Chelsea Brooks · Answer 1

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are 1-√3-2.

If the long leg is 8, then the short one is 8/√3, or 8√3/3.

Therefore, the hypotenuse, which is double the short leg, is 16√3/3.