# Calculate the length of the sides of the equilateral triangle on the right, correct to a millimetre.

The figure is attached below:

An equilateral triangle has all sides of equal length,

i.e.,

AB = BC = AC

D is the midpoint of BC

BD = DC = 1/2 BC = 1/2 AB =1/2 AC

Now using Pythagoras theorem,

42 + (1/2 AB)2 = AB2

AB2 + 1/4 AB2 = 42

Hence, sides of triangle are 3.6 cm

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