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The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

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The side length of an equilateral triangle is 6 cm. What is the height of the triangle-example-1

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Answer:

(c) 3√3

Explanation:

The altitude forms the long side of a 30°-60°-90° right triangle whose short side is 6/2 = 3 cm.

The ratios of side lengths in a 30°-60°-90° triangle are ...

1 : √3 : 2

Multiplying these ratio values by 3 gives the right triangle side lengths of ...

3 : 3√3 : 6

where 6 is the side length of the equilateral triangle. The length 3√3 is the altitude of that equilateral triangle.

The height of the triangle is 3√3 cm.

The side length of an equilateral triangle is 6 cm. What is the height of the triangle-example-1
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