The hypotenuse of a triangle is 10cm long. The two shorter sides are xcm and x+2 cm. Find the valtue of x?

2 answers

you can do the math: x^2 + (x+2)^2 = 10^2
or you can recall your basic 3-4-5 right triangle and then just double all the sides.
Side^2+side^2
10^2={x+2)^2+x^2
100=x^2+4+2x+x^2
100=2x^2+2x+4
50=x^2+x+2
X^2+x-48=0
(X+7)(x-6)=0
X=6 x=-7