What is the greatest possible area of triangle with the length of one side is 7 and another leg length is 10?

The answer is 35

Yes, the greatest possible area of a triangle, given two sides, is when those sides are the legs of a right triangle. So the greatest possible area of a triangle with sides of length 7 and 10 is (½)(7)(10) = 35.

Confusing, right? That’s why I made a video explaining this very concept. (The side lengths are different in the video, but you get the idea.)