Geometry and TrigonometryHardHypotenuse from the longer leg of a 30-60-90 triangle
Geometry and Trigonometry practice question
In a 30°-60°-90° right triangle, the longer leg has length 6√3. What is the length of the hypotenuse?
- A. 12Correct
- B. 6
- C. 12√3
- D. 6√2
Answer: A. 12
The longer leg is √3 times the short leg, so the short leg is 6. The hypotenuse is twice the short leg: 12.
Why the other answers are wrong
- B. 6
- 6 is the SHORT leg.
- C. 12√3
- 12√3 multiplies the hypotenuse by √3 for no reason.
- D. 6√2
- 6√2 belongs to a 45°-45°-90° triangle.
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