A square is inscribed in a right triangle, as shown below. The legs of the triangle are 1 and 3. Find the area of the square.
Are you sure it is a square and not a rectangle...
Side of the square =
(product of the leg lengths) / ( sum of leg lengths) =
[ 1 * 3 ] / [ 1 + 3] =
3/4
Area = (3/4)^2 = 9/16
+1533 
