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As the triangle is equilateral, the height can be calculated using Pythagoras:
side2 = (1/2side)2 + height2
=> height = sqrt(side2 - (1/2side)2)
=> height = side x sqrt(3) / 2
So the area can be calculated:
=> area = 1/2base x height
= 1/2side x side x sqrt(3) / 2
= side2 x sqrt(3) / 4
And plugging in the the side of 13cm:
Area ~= 73.2cm2
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