Question

the altitude to the hypotenuse of a right triangle abc divides the hypotenuse of right 9 cm and 16 cm. What is the length, in centimeters, of the longer leg of triangle abc?

Answer 1

Use this theorem:

If an altitude is drawn to the hypotenuse of a right triangle, either leg of the triangle is the geometric mean between the length of the hypotenuse and the segment of the hypotenuse adjacent to that leg.