Question 920691
{{{x}}}= length of the longer leg, in meters.
{{{x+2}}}= length of the hypotenuse, in meters.
The Pythagorean theorem tells us that
{{{8^2+x^2=(x+2)^2}}}
So,
{{{64+x^2=x^2+4x+4}}}
{{{64=4x+4}}}
{{{64-4=4x}}}
{{{60=4x}}}
{{{60/4=x}}}
{{{highlight(x=15)}}}