The height of an equilateral triangle is 6cm. Its area is –

It is given in the question that,

Height of an equilateral triangle = 6 cm

Let the side of triangle be a

Then, the altitude of the equilateral triangle is given as:

∴

Put altitude = 6 cm we get,

a =

a = 4 cm

∴ Area of triangle =

=

=

= 12 cm^{2}

Hence, option (a) is correct

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