prove the area of equiladeral triangle ny using herons formula
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Step-by-step explanation:
Derive a formula for area of equilateral triangle in terms of its side using Heron's formula.
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Answer
Heron's Formula =
Area =
s(s−a)(s−b)(s−c)
Where s=
2
a+b+c
equilateral triangle have equal side.
a=b=c⇒a
∴s=
2
a+a+a
=
2
3a
Area =
2
3a
(
2
3a
−a)(
2
3a
−a)(
2
3a
−a)
=
2
3a
(
2
a
)(
2
a
)(
2
a
)
=
16
3a
4
=
4
3
a
2
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