The altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units.

Mathematics · High School · Thu Feb 04 2021

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Formula Used: 

Altitude of Equilateral Triangle h = (1/2) × √3 × a

Where a = side

Here, h = 7 units

Putting value in formula , we get

7 = √3/2 × a

a = 14/√3

a = 14/1.73       {√3 = 1.73}

a = 8.092

 

Thus, Length of Equilateral triangle is 8.092 unit.