Question

if each side of an equilateral triangle is a units then find the area of an equilateral triangle using heron's formula​

Answer 1

√3/2 is the answer of the question

Answer 2

Answer:

By using herons formula

side = a unit

s=( a+a+a)/2

s = 3a/2

area = √s(s-a) (s-b) (s-c)

= √3a/2 (3a/2-a)(3a/2-a)(3a/2-a)

=√ 3a/2( 3a/2- a)

= √ 3a/2( 3a-a/ 2)

= √ 3a/2 x 2a/2

= √ 6a²/ 4

=√ 3 a²/2

hence proved the area formula

hope it helps you ..

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