# The side of the triangle is 3 cm, and the height drawn to it is 4 times the side. Find the area of the triangle.

March 26, 2021 | education

| It is known from the condition that the side of a given triangle is 3 cm, and the height drawn to it is 4 times greater than this side.

In order to find the area of a triangle, we will apply the following formula:

S = 1/2 * a * ha.

The area of a triangle is equal to half the product of the base and the height dropped on this side.

Let’s start by calculating the length of the height:

3 * 4 = 12 cm.

It remains only to substitute the values into the formula and perform calculations:

S = 1/2 * 3 * 12 = 18 cm ^ 2 the area of this triangle.

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