Question

The hypotenuse of a right triangle measures 13 centimeters. find the lengths of the legs if their sum is 17 centimeters

Answer 1

\[a^2+b^2=c^2\]

c is the hypotenuse.
a and b are the legs.

Say that leg a is x and leg b is 17-x.

Can you find the legs now?

So you have
\[x^2 + (17-x)^2=13^2\]

More help?

Answer 2

\[x^2+289-34x+x^2= 169\]
\[2x^2-34x+289=169\]
\[2x^2-34x=169-289\]
\[2x^2-34x=-120\]
or you can have 120 on the other side,
\[2x^2-34x+120=0\]
factor the equation out of 2, in other words divide entire equation (everything in it) by 2.
\[x^2-17x+60=0\]
\[Can+You+Solve+It+Now+?\]

Answer 3

yes, thank you it took a few min.