Problema Solution
The medians of the two legs of a right triangle are 6 radical 2 and 3 radical 17. Find the hypotenuse of the right triangle.
Answer provided by our tutors
If the median is 6√2 then the side of the triangle opposite this median is 2*6√2 = 12√2.
If the median is 3√17 then the side of the triangle opposite this median is 2*3√17= 6√17.
Using the Pythagorean Theorem for the hypotenuse c we have:
c^2 = (12√2)^2 + (6√17)^2
c^2 = 288 + 612
c^2 = 900
c = 30
The hypotenuse is 30.