The side of the triangle is 6 and the height drawn to it is 4. Find the side to which the height is 3.

univerkov | September 26, 2021 | education

First, let’s find the area of this triangle.

According to the condition of the problem, one of the sides of this triangle is 6, and the height drawn to it is 4.

Applying the formula for the area of a triangle in terms of the length of the side and the height drawn to this side, we find the area S of this triangle:

S = 6 * 4/2 = 24/2 = 12.

Again applying the formula for the area of a triangle in terms of the length of the side to which the height is drawn, equal to 3, we find the length of this side:

2 * 12/3 = 24/3 = 8.

Answer: The length of this side is 8.

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