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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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14y ago

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