Question

The medians of a right triangle which are drawn from the vertices of the acute angles are 5 cm and 2√10 cm.The hypotenuse of the triangle is:​

Answer 1

Answer:

From the given information it follows that for the right triangle ABC, $$(b/2)^2 + b^2 = 25\ and\ a^2 + (b/2)^2 = 40. \therefore a^2 = 36\ and\ b^2 = 16.

\therefore c^2 = a^2 + b^2 = 52; \therefore c = 2 \sqrt{13}$$