A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 11 cm more?

Science & Mathematics by Anonymous 2018-06-19 15:34:06

Social Science

1 answer

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 11 cm more than the shorter leg and the hypotenuse 22 cm more than the shorter leg. How long should the sides of the triangle be? The sides are ___ cm.

Anonymous

a^2 +(a+11)^2 = (a+22)^2 2a^2 +22a +121 = a^2 +44a +484 a^2 -22a -363 = 0 a = -11 ; 33 33, 44, 55