Geometry and TrigonometryHardShorter leg of a 30-60-90 triangle
Geometry and Trigonometry practice question
In a right triangle, one acute angle measures 30° and the hypotenuse has length 8. What is the length of the shorter leg?
Answer: 4
The leg opposite 30° is half the hypotenuse: 8/2 = 4.
Common wrong answers
- If you answered 16
- 16 doubles instead of halving.
- If you answered 6.93
- 6.93 is 4√3, the longer leg.
- If you answered 5.66
- 5.66 is 8/√2, the leg of a 45-45-90 triangle.
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