Geometry and TrigonometryVery hardHypotenuse of an isosceles right triangle from its area
Geometry and Trigonometry practice question
An isosceles right triangle has an area of 32. Its hypotenuse can be written as k√2. What is the value of k?
Answer: 8
With legs of length a, a²/2 = 32 gives a = 8, and the hypotenuse is 8√2.
Common wrong answers
- If you answered 4
- 4 comes from a² = 32 read as a = 4√2, then miscounted.
- If you answered 16
- 16 is a², or 2a.
- If you answered 32
- 32 is the area.
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