the length of hypotenuse

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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?

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December 22nd 2012, 06:39 AM
skeeter

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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!

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