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Question

A square is inscribed in a right-angled isosceles triangle with the two shorter sides p and q such that the square has a common right angle with the triangle. What is the perimeter of the square?

A
mixed bag 4 pic 1.png
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B
(pq)3
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C
mixed bag 4 pic 3.png
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D
mixed bag 4 pic 4.png
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Solution

The correct option is D mixed bag 4 pic 4.png

Assume p=1 and q=1.

Since only variables are used, the conditions should satisfy any right-angled triangle. The side of the square becomes 0.5 or 12. The perimeter = 4×12=2

Look in the answer options, where on the substitution of p=1 and q=1, you get 2.


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