Geometry and TrigonometryVery hardArea from a hypotenuse and one leg
Geometry and Trigonometry practice question
A right triangle has a hypotenuse of length 25 and one leg of length 7. What is the area of the triangle?
Answer: 84
The other leg is √(625 − 49) = 24, so the area is (1/2)(7)(24) = 84.
Common wrong answers
- If you answered 24
- 24 is the missing leg, not the area.
- If you answered 168
- 168 forgets the half.
- If you answered 87.5
- 87.5 uses the hypotenuse as a leg: (1/2)(7)(25).
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