**Did you know?**
Did you know that the hypotenuse of a right triangle can be found using the lengths of its legs and the area? For example, if the area of a right triangle is 12 square inches and the ratio of the lengths of its legs is 2/3, we can determine the length of the hypotenuse. By applying the Pythagorean theorem, we find that the lengths of the legs are 4 and 6 inches. Utilizing the formula A = 1/2 * base * height, we can find that 12 = 1/2 * 4 * 6. From this, we can deduce that the hypotenuse of the right triangle would measure approximately 7.211 inches. Fascinating, isn't it?