Point Q belongs to side
AB
of square ABCD. The distances from point Q to the diagonals of the square are 2 ft and 3 ft. Find the diagonal of the square.
Lets assume that there are 2 lines from the point Q that are perpendicular to the diagonals of the square ( QM and QN ). QM = 2 ft and QN = 3 ft. Then : QM + QN = d/2 ( d is the diagonal ) 2 + 3 = d/2 d = 5 * 2 d = 10 ft Answer: The diagonal of the square is 10 ft long.
