# From the vertex B of the isosceles triangle ABC, a perpendicular BK equal to 12 cm was drawn to its plane

October 3, 2021 | education

| **From the vertex B of the isosceles triangle ABC, a perpendicular BK equal to 12 cm was drawn to its plane. Find the distance from point K to the side AC, if AC = 24 cm, AB = BC = 20 cm.**

In the isosceles triangle given by the condition, we draw the height (median) to the base of the speaker.

We find it by the Pythagorean theorem:

BH = √ (AB² – AH²) = √ (400 – 144) = √256 = 16 (cm).

The KBН triangle is rectangular. We find the hypotenuse KH – the distance from point K to the side of the AC.

KH = √ (BK² + BH²) = √ (144 + 256) = √400 = 20 (cm).

Answer: the distance from point K to the AC side is 20 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.