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. Fi

Question

3 years ago

13

nd 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)

2 answers:

Annette [7] · Answer 1 · 2022-02-13T07:34:09+03:00

6 0

X=8 remember length cannot be negative

Dimas [21] · Answer 2 · 2022-02-13T05:48:49+03:00

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.