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In Mathematics / High School | 2014-05-20

An equilateral triangle has an altitude length of 27 feet. Determine the length of a side of the triangle.

Asked by Kandace356

Answer (2)

27 radical 2 feet because its a special 30-60-90 triangle

Answered by ljthomas9 | 2024-06-10

The length of a side of the equilateral triangle with an altitude of 27 feet is 18 3 ​ feet, or approximately 31.18 feet. This is derived by using properties of a 30-60-90 triangle. The altitude serves to relate the side length with ratios from the triangle's properties.
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Answered by ljthomas9 | 2024-12-23