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In right triangle ABC, \(\angle c = 90\) . Median AM has a length of 19 and median BN has a length of 18. What is the length of the hypotenuse of the triangle?

I appreciate any help!

 Oct 3, 2021
 #1
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The length of the hypotenuse is 16*sqrt(2).

 Oct 3, 2021
 #2
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Notice how we have 3 right triangles. 

Use the pythagorean theorem to set up 3 equations. 

How can we manipulate 2 of the equations to find the hypotenuse of the triangle?

I hope this helps. :))

 

=^._.^=

 Oct 3, 2021

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