Question

the side of an equilateral triangle is 5cm . then its height is (in cm)

Answer 1

height of equilateral triangle= √3 a/2
=√3×5/2
=1.73×5/2
=4.325cm

Answer 2

Given : an equilateral triangle of side 5 cm is:​

To Find : Height

Solution:

Equal Sides = 5

s = ( 5 + 5 + 5)/2 = 15/2

Area using heron formula

= √(15/2)15/2 - 5)(15/2 - 5)(15/2 - 5)

= (1/4) √15*5*5*5*5

= 5√3 / 4  cm²

Area of triangle = (1/2) * base * height

= (1/2) * 5 * h

 (1/2) * 5 * h= 5√3 / 4

=> h = 5√3/2

The height of an equilateral triangle of side 5 cm is 5√3/2 cm

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