Advanced MathHardArea of an isosceles right triangle from its hypotenuse
Advanced Math practice question
An isosceles right triangle has a hypotenuse of length 10. What is the area of the triangle?
Answer: 25
Let each leg be a: 2a² = 100, so a² = 50. Area = a²/2 = 25.
Common wrong answers
- If you answered 50
- 50 is a², the square of a leg, not the area.
- If you answered 100
- 100 is the square of the hypotenuse.
- If you answered 35.4
- 35.4 is a · 10 / 2, mixing a leg and the hypotenuse.
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