Advanced MathMediumLeg of a right triangle from its area
Advanced Math practice question
A right triangle has legs of length x and x + 1, and its area is 15 square units. What is the value of x?
Answer: 5
Area = x(x + 1)/2 = 15 → x² + x − 30 = 0 → (x + 6)(x − 5) = 0 → x = 5.
Common wrong answers
- If you answered 6
- 6 is x + 1, the longer leg.
- If you answered 30
- 30 is x(x + 1), the doubled area.
- If you answered -6
- −6 is the rejected negative root.
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