The base of the triangle is 10 cm and the area is 125 cm2, find the height drawn to this base.

Given:

triangle ABC,

АС – base,

area ABC, that is, S ABC = 125 cm ^ 2,

AK – the height drawn to the base of the speaker,

AC = 10 centimeters.

Find the length of the height of the AK -?

Decision:

Consider a triangle ABC. The area of a triangle is equal to the product 1/2 by the height, on the side to which it is drawn, that is:

S ABC = 1/2 * AK * AC;

125 = 1/2 * AK * 10;

125 = 5 * AK (in order to find an unknown factor, you need to divide the product by a known factor);

AK = 125: 5;

AK = 25 centimeters.

Answer: 25 centimeters.