# The side of a triangle is 24, and the height to that side is 19. Find the area of the triangle.

January 17, 2021 | education

| Given:

triangle ABC,

ВН – the height drawn to the side of the AС,

AC = 24,

BH = 19.

Find the area of the triangle ABC, that is, S ABC -?

Decision:

Consider a triangle ABC.

The area of a triangle is equal to the product of the height by 1/2 of the side to which this height is drawn.

Hence

S abc = 1/2 * ВН * AC;

S abc = 1/2 * 19 * 24;

S abc = 19 * 24/2;

S abc = 12 * 19;

S abc = 228.

Answer: S abc = 228.

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