Question 142477
let x=shorter


"The longer leg of a right triangle is 6 cm longer than 6 times the shorter leg" __ 6x+6


"and also 1 cm shorter (than) the hypotenuse" __ 6x+7


(x)^2+(6x+6)^2=(6x+7)^2 __ x^2+36x^2+72x+36=36x^2+84x+49 __ x^2-12x-13=0


factoring __ (x-13)(x+1)=0 __ x=13 and x=-1 __ negative value not realistic


perimeter=13+6(13)+6+6(13)+7 __ p=182