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    Question

    ∆PQR is an isosceles right angled triangle with ∠Q

    = 90°. On the sides PR and PQ, two equilateral triangles PRS and PQT have been constructed. The ratio of area of ∆ PQT and ∆PRS is
    A 1: 2 Correct Answer Incorrect Answer
    B 2 : 1 Correct Answer Incorrect Answer
    C 1 : 3 Correct Answer Incorrect Answer
    D 1 : √2 Correct Answer Incorrect Answer

    Solution

    Let PQ = PR = 1 PR = √(12+1²) = √2 (using Pythagoras) (Area of (∆PQT))/(Area of (∆PRS)) = (√3/4 (1)²)/(√3/4 (√2)²) = 1/2 = 1 : 2

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