Find the area of an equilateral triangle having each side x cm?
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78
area of an equilateral triangle = √3 x²/4
proof-
let us draw an altitude from any vertex,
length of altitude = √[(x)²-(x/2)²]
=√3 x/2
now area = (1/2)×base ×height
=(1/2)×(x)×(√3 x/2)
= √3 x²/4 cm²
proof-
let us draw an altitude from any vertex,
length of altitude = √[(x)²-(x/2)²]
=√3 x/2
now area = (1/2)×base ×height
=(1/2)×(x)×(√3 x/2)
= √3 x²/4 cm²
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27
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