Geometry and TrigonometryEasy–MediumShorter leg of a 30° right triangle
Geometry and Trigonometry practice question
A right triangle has a hypotenuse of length 10 and an acute angle of 30°. What is the length of the leg opposite the 30° angle?
Answer: 5
The side opposite 30° is half the hypotenuse: 10 × sin 30° = 5.
Common wrong answers
- If you answered 20
- 20 doubles the hypotenuse instead of halving it.
- If you answered 8.66
- 8.66 is the leg opposite 60° (10 × cos 30°).
- If you answered 5.77
- 5.77 is 10 × tan 30°, the wrong ratio.
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- Easy–Medium
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What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
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