find the length of the side and perimeter of an equilateral triangle whose height is √3
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Perimeter is 6 cm
Side is 2 cm
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Given:
Height of equilateral triangle = √3unit
To Find
Find the side and perimeter of equilateral triangle
Steps
As we know that
Height = √3/2a
Let " a " be the side of equilateral triangle
Height of equilateral triangle = √3/2a
➢√3 = √3/2a
➢ 1 = 1/2a
➢ 2a = 1
➢ a = 1/2 unit
Perimeter equilateral triangle
➳ 3a
➳ 3 × 1/2 = 3/2 unit
Hence, the side of equilateral triangle is 1/2unit and its perimeter is 3/2unit
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