Find the hypotenuse, legs and the height drawn to the hypotenuse AK = 16 BK = 9.

univerkov | January 12, 2021 | education

The square of the height of a right-angled triangle drawn to the hypotenuse is equal to the product of the lengths of the segments by which the height divides the hypotenuse.
СK ^ 2 = ВK * AK = 9 * 16 = 144.
СK = 12 cm.
The length of the hypotenuse AB = AK + ВK = 16 + 9 = 25 cm.
Triangles BCK and AСK are rectangular, then, by the Pythagorean theorem:
BC ^ 2 = СK ^ 2 + BK ^ 2 = 144 + 81 = 225. BC = 15 cm.
AC ^ 2 = CK ^ 2 + AK ^ 2 = 144 + 256 = 400. AC = 20 cm.
Answer: The hypotenuse is 25 cm, the legs are 15 cm and 20 cm, the height is 12 cm.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.