2015 · Q70
A square is inscribed in a right triangle with legs x and y and has common right angle with the triangle. The perimeter of the square is given by
Elementary MathematicsCircles
- A(2xy)/(x + y)
- B(4xy)/(x + y)
- C(2xy)/√(x² + y²)
- D(4xy)/√(x² + y²)
Explanation
If the square has side s: s/x + s/y = 1, so s = xy/(x + y) and the perimeter is 4xy/(x + y). Hence option (b).