# the length of hypotenuse

• December 22nd 2012, 06:25 AM
rcs
the length of hypotenuse
In a right triangle, the medians to the legs are sqrt 15 and sqrt 20 long. How long is the hypotenuse?

:(
• December 22nd 2012, 06:39 AM
skeeter
Re: the length of hypotenuse
$a^2 + b^2 = c^2$

$\left(\frac{a}{2}\right)^2 + b^2 = 20$

$\left(\frac{b}{2}\right)^2 + a^2 = 15$

solve for $c$
• December 22nd 2012, 07:23 AM
rcs
Re: the length of hypotenuse
Quote:

Originally Posted by skeeter
$a^2 + b^2 = c^2$

$\left(\frac{a}{2}\right)^2 + b^2 = 20$

$\left(\frac{b}{2}\right)^2 + a^2 = 15$

solve for $c$

2 sqrt 7

is this correct sir?
• December 22nd 2012, 06:43 PM
Soroban
Re: the length of hypotenuse
Hello, rcs!

You are right! . . . Good work!