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What is the length of the altitude of an equilateral triangle with side length of 4cm?

User An SO User
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Answer:

2√3 cm

Explanation:

The side lengths of a 30°-60°-90° triangle have the ratio 1 : √3 : 2.

The altitude divides the triangle into two such 30-60-90 triangles, each with a short side that is half the length of the side of the equilateral triangle. The altitude is the long side of that 30-60-90 triangle, so is √3 times half of 4 cm:

... √3·(4 cm/2) = 2√3 cm

User Lkurylo
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