Step-4

Title: Altitude

Grade: 7-a Lesson: S3-L6

Explanation:

Step Type Explanation Answer

1

Problem

Find the altitude of a right triangle that is dividing its base of 12 cm into 8 cm and 4 cm.

2

Given

A right triangle that is dividing its base of 12 cm into 8 cm and 4 cm.
Here x \$= 8 cm\$, and y \$= 4 cm\$.

3

Formula:

Altitude of a a right triangle is given by

\$ h = \sqrt{xy} \$

4

Step

Substiutute the values.

\$\Rightarrow h = \sqrt{(8)(4)} \$

5

Step

Simplify.

\$\Rightarrow h = 4\sqrt{2} \$

6

Step

Answer

The altitude of a right triangle that is dividing its base of 12 cm into 8 cm and 4 cm is \$ 4\sqrt{2} \$.


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