Question

Find the remaining sides of a 30°-60°-90° triangle if the longest side is 11. (Enter your answers as a comma-separated list.)

Answer 1

Answer:

The three sides are 4, 4√3, and 8. Explanation: The ratio of the sides in a 30-60-90 triangle is x:x√3:2x. That means if the side opposite 30∘ is x, then the side opposite 60∘ is x√3 and the side opposite 90∘ is 2x. Since the longest side is the hypotenuse, which is opposite 90∘, we know that 2x=8→x=4. So the side opposite 30∘ is 4. If the side opposite 30∘ is 4, we know that the side opposite 60∘, x√3, is going to be 4√3. So the sides are 4, 4√3, and 8.

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Answer 2

Answer:

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