I need help solving

Question

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg

22

cm more than the shorter leg and the hypotenuse

44

cm more than the shorter leg. How long should the sides of the triangle​ be?

Answer 1

Draw a figure!

(x+44)² = x² + (x+22)²

If you expand and collect terms you should get:

x² - 44x - 3(22)² = 0.

You can solve this by the quadratic formula and as soon as you get the result you should know immediately that the answer is correct!