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
• B. (pq)³
• C. mixed bag 4 pic 3.png
• D. mixed bag 4 pic 4.png

Answer 1

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 $\frac{1}{2}$. The perimeter = 4$\times$$\frac{1}{2}$=2

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