A triangle with sides 16 and 2 has heights to these sides. The height drawn to the first side is 1.

univerkov | May 13, 2021 | education

A triangle with sides 16 and 2 has heights to these sides. The height drawn to the first side is 1. What is the height drawn to the second side?

Let us determine the area of the triangle through the known height and the side to which the height is drawn.

Savs = AC * BH / 2 = 16 * 1/2 = 8 cm2.

Knowing the area of the triangle, we determine the length of the CM height.

Savs = AB * CM / 2.

CM = 2 * Savs / AB = 2 * 8/2 = 8 cm.

Answer: The height drawn to the second side is 8 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.