In a triangle with sides 10cm and 15cm, heights are drawn to these sides.

univerkov | February 5, 2021 | education

In a triangle with sides 10cm and 15cm, heights are drawn to these sides. The height drawn to the smaller side is 3cm. What is the height drawn to the larger side?

We define the area of the triangle ABC through the AC side and the ВC height drawn to it.

Savs = AC * ВK / 2 = 10 * 3/2 = 30/2 = 15 cm2.

Let us express the area of the triangle ABC through its side AB and the height CH.

Savs = AB * CH / 2.

CH = 2 * Savs / AB = 2 * 15/15 = 2 cm.

Answer: The length of the height drawn to the larger side is 2 cm.

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