Question

The hypotenuse of a right triangle is 1m longer than twice one of the other two sides. The third side of the triangle is 15m. Find the lengths of the unknown side and the hypotenuse.
(this is within the unit of quadratic equations, so im not entirely sure how this would work)

Answer 1

X=8 remember length cannot be negative

Answer 2

Let the length of unknown side be x

So, hypotenuse = 2x + 1

By pythagorean theorem ie , a² = b² + c²

(2x + 1)² = x² + 15²

4x² + 1 + 4x = x² + 225

3x² + 4x -224

(3x +28)(x-8)

x = -9.33 , 8

Since, length can't be negative

x = 8

∴Unknown side length = 8 m

Length of hypotenuse = 2 x 8 + 1 = 17 m

Hope it helps now.