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Step-5

Title: Altitude

Grade: 7-a Lesson: S3-L6

Explanation:

Step	Type	Explanation	Answer
1	Problem	An equilateral triangle has each side of length 32 inches. Find the altitude of the triangle.
2	Given	An equilateral triangle with sides measuring 32 inches.
3	Formula:	Altitude of a equilateral traingle is given by	\$ h = \frac{\sqrt{3}}{2}a \$
4	Step	Substiutute the values.	\$\Rightarrow h = \frac{\sqrt{3}}{2}(32) \$
5	Step	Cancel out commmon factor.	\$ \Rightarrow h = \frac{\sqrt{3}}{\cancel{2} ^{1}}(\cancel{32} ^{16}) \$
6	Step	Answer	The altitude of an equilateral triangle with sides measuring 32 inches is \$16 sqrt{3}\$

Step

Type

Explanation

Answer

Problem

An equilateral triangle has each side of length 32 inches. Find the altitude of the triangle.

Given

An equilateral triangle with sides measuring 32 inches.

Formula:

Altitude of a equilateral traingle is given by

\$ h = \frac{\sqrt{3}}{2}a \$

Step

Substiutute the values.

\$\Rightarrow h = \frac{\sqrt{3}}{2}(32) \$

Step

Cancel out commmon factor.

\$ \Rightarrow h = \frac{\sqrt{3}}{\cancel{2} ^{1}}(\cancel{32} ^{16}) \$

Step

Answer

The altitude of an equilateral triangle with sides measuring 32 inches is \$16 sqrt{3}\$