Solve this multiple-choice question and choose the correct option.

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.

Difficulty: Easy

100√2
100
50√2
50
None of these

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

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