Question

In a right triangle one of the perpendicular sides is one less than 2 times the smaller side. Hypotenuse is one more than 2 times the same smaller side. By taking the smaller side as x cm, write the algebraic expression for the other two sides. Compute all the 3 sides of the right triangle.

Answer 1

Smaller side = x

Perpendicular side = 2x – 1

Hypotenus = 2x + 1

x² + (2x – 1)² = (2x + 1)²

x² + 4x² – 4x + 1 = 4x² + 4x + 1

x² – 8x = 0

x (x – 8) = 0

x = 0 or x = 8

Side = 8 cm, 15 cm, 17 cm