Problem: The medians of a right triangle which are drawn from the vertices of the acute angles are 5 and 40 respectively. The value of the hypotenuse is:
Answer Choices:
A. 10
B. 240
C. 13
D. 213
E. none of these answers
Solution:
From the given information it follows that for the right triangle ABC,
(a/2)2+b2=25 and a2+(b/2)2=40.∴a2=36 and b2=16.∴c2=a2+b2=52;∴c=213.