The height of the triangle refers to the base as 2: 5 S = 80 cm square find the height of the triangle.

univerkov | September 3, 2021 | education

For the solution, we use the formula for the area of a triangle.

Sас = АС * BН / 2.

By condition, BH / AC = 2/5.

2 * AC = 5 * BH.

AC = 5 * BH / 2.

Substitute the AC value in the triangle area formula.

Savs = (5 * BH / 2) * BH / 2 = 5 * BH ^ 2/4.

5 * BH ^ 2 = 4 * Savs.

5 * BH ^ 2 = 80.

BH ^ 2 = 80/5 = 16.

BH = 4 cm.

Answer: The height of the triangle is 4 cm.

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