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Step-1

Title: Altitudes

Grade: 7-a Lesson: S3-L6

Explanation:

Step	Type	Explanation	Answer
1	Problem	Find the altitude of an equilateral triangle with sides measuring 6 cm.
2	Given	An equilateral triangle with sides measuring 6 cm.
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}(6) \$
5	Step	Cancel out commmon factor.	\$ \Rightarrow h = \frac{\sqrt{3}}{\cancel{2} ^{1}}(\cancel{6} ^3) \$
6	Step	Answer	The altitude of an equilateral triangle with sides measuring 6 cm is \$3 sqrt{3}\$.

Step

Type

Explanation

Answer

Problem

Find the altitude of an equilateral triangle with sides measuring 6 cm.

Given

An equilateral triangle with sides measuring 6 cm.

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}(6) \$

Step

Cancel out commmon factor.

\$ \Rightarrow h = \frac{\sqrt{3}}{\cancel{2} ^{1}}(\cancel{6} ^3) \$

Step

Answer

The altitude of an equilateral triangle with sides measuring 6 cm is \$3 sqrt{3}\$.