Right isosceles triangle with hypotenuse 20 cm – Find area: In right triangle PQR, PQ = QR. If hypotenuse PR = 20 cm, find the area of ∆PQR.
Aptitude
Area
Difficulty: Easy
Choose an option
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A100√2
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B100
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C50√2
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D50
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ENone of these
Answer
Correct Answer: 100
Explanation
Introduction / Context:In a right isosceles triangle, hypotenuse = leg * √2. Area = (1/2) * leg^2.
Step-by-Step Solution:
Let each leg = a ⇒ hypotenuse = a√2 = 20 ⇒ a = 20/√2 = 10√2.Area = (1/2) * a^2 = 0.5 * (10√2)^2 = 0.5 * 200 = 100 sq cm.Final Answer:100