Question

What is the perimeter of an equilateral triangle whose altitude is 10 cm​

Answer 1

given altitude h = 10 cm

If a is the side of the equilateral triangle then altitude h = ​√3 a/2

==> a = 2 h/√3 = 2 * 10/​√3

==> a = 20 √3/3 cm

Now perimeter of equilateral triangle = 3 a

So P = 3 * 20 √3/3 = 20√3 cm

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