Math, asked by rapokenibabu, 1 year ago

Prove using herons formula that area of equilateral triangle is equal to root3 by4 a square where a is the side of triangle

Answers

Answered by Anonymous
2
Hi Mate!!

Equilateral trangle :-
1) All sides are equal.

2) All the 3 angles are equal and are = 60°

Heron's formula =
 \sqrt{s(s - a)(s - b)(s - c) } \\ \\ where \: s \: is \: semi \: perimeter \: and \: a \: b \: c \: are \: sides \: of \: trangle \\ \\

s = 3a / 2

√{ ( 3a / 2 ) ( a / 2 ) ( a / 2 ( a / 2 ) }

a² / 4 ( √3 )
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