3 years ago

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

Mathematics

1 answer:

fiasKO [112]3 years ago

5 0

Answer:

Step-by-step explanation:

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

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

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

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