The area of the ABC triangle is 36 cm2. Find the height BD if AC: BD = 2: 1.

univerkov | September 2, 2021 | education

Let AC be 2x, then BD will be x. Then, for the area of such a triangle, the following equality will be true:

1/2 * (x * 2x) = 36.

Let’s simplify and solve this equation:

1/2 * (2×2) = 36;

x2 = 36;

x = 6 cm is equal to the segment BD – the height of the triangle.

Answer: the height of the triangle is 6 cm.

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