Geometry and TrigonometryHardArea of an isosceles right triangle from its hypotenuse
Geometry and Trigonometry practice question
An isosceles right triangle has a hypotenuse of length 8. What is the area of the triangle?
Answer: 16
Each leg is 8/√2 = 4√2, so the area is (1/2)(4√2)² = 16.
Common wrong answers
- If you answered 8
- 8 halves the hypotenuse.
- If you answered 32
- 32 forgets the 1/2.
- If you answered 64
- 64 squares the hypotenuse.
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