Find the Length of the Hypotenuse
Date: 05/08/2003 at 22:15:44 From: Anna Subject: Geometry/Algebra The medians to the legs of a right triangle are 10 and 12.649 or 4 radical 10. Find the length of the hypotenuse. I know that if you have the two medians, that forms two 30, 60, 90-degree triangles. So for one they told us that the median is 10 and that's the hypotenuse of the triagle. So one leg is 5 and the other 5 radical 3. Then the other triangle is 4 radical 10 hypotenuse and 2 radical 10, and then I don't know what to do from there.
Date: 05/09/2003 at 11:13:29 From: Doctor Luis Subject: Re: Geometry/Algebra Hi Anna, Suppose your right triangle has sides x, y and hypotenuse c. Let the lengths of the two medians be a = 4*sqrt(10), b = 10. You can use the knowledge you have about medians (they bisect the opposite side) to find the values of x and y, and then finally, use your values of x and y to find the hypotenuse c. But why get all tangled up in words when I can show you with a nice diagram? Now it should be pretty easy. I hope this helped. Let us know if you have any more questions. - Doctor Luis, The Math Forum http://mathforum.org/dr.math/
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