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Prove area of equilateral triangle by …

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Prove area of equilateral triangle by using heron formula

Posted by Jai Ghosh 5 years, 3 months ago

CBSE > Class 09 > Mathematics

2 answers

Astik Dash 5 years, 2 months ago

Please give thanks to the first answer^^^☆☆☆☆

1Thank You

Yogita Ingle 5 years, 3 months ago

As we know the equilateral triangle have all its sides equal. To find the area of equilateral triangle let us first find the semi perimeter of the equilateral triangle will be:

s = (a+a+a)/2

s=3a/2

where a is the length of the side.

Now, as per the heron’s formula, we know;

Area=√s(s−a)(s−b)(s−c)

Since, a = b = c

Therefore,

A = √[s(s-a)³]

which is the required formula.

1Thank You

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CBSE > Class 09 > Mathematics