The area of the triangle is 36 square meters. find 1) the height, knowing that the side to which this height

univerkov | April 26, 2021 | education

The area of the triangle is 36 square meters. find 1) the height, knowing that the side to which this height is lowered is 12 m. 2) the side, if it is known, that the height drawn to this side is 4 m.

1) The area of the triangle is equal to half the product of the height and the base.

S = AC * ВН / 2.

Let us express the height of the triangle from the formula.

ВН = 2 * S / AC = 2 * 36/12 = 6 m.

Answer: The height of the triangle is 6 m.

2) The area of the triangle is equal to half the product of the height and the base.

S = AC * ВН / 2.

Let us express the base of the triangle from the formula.

AC = 2 * S / BH = 2 * 36/4 = 18 m.

Answer: The side of the triangle is 16 m.

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