# The area of the triangle is 36 m2, find the height knowing that the side to which the height is lowered is 12m.

March 27, 2021 | education

| From the condition, we know that the area of the triangle is 36 m2, and the side of the triangle to which the height is lowered is also known – 12 m.

In order to find the height of a triangle, which is lowered to the side of a triangle of known length, we will use the formula to find the area of a triangle through the side and the height lowered to it.

Let’s remember the formula for finding the area:

S = 1/2 * b * h, where b and h are the side and the height lowered to this side, respectively.

Let’s express the height:

h = 2S / b;

Substitute and calculate:

h = 2 * 36/12 = 6 meters the height of the triangle, lowered to the side of 12 m.

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