Question

The hypotenuse of a right triangle is 4 cm less than twice theShortest side and third side is 4 metre more than the shortest side Find the sides of the triangle

Answer 1

Let shortest side be x.
Then, third side is x+4
Hypotenuse is 2x-4
${x}^{2} + {(x + 4)}^{2} = {(2x - 4)}^{2} \\ 2 {x}^{2} + 8x + 16 = 4 {x}^{2} - 16x + 16 \\ 2 {x}^{2} - 24x = 0 \\ x(x - 12) = 0 \\ x = 12$
Therefore sides are 12, 16, 20