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Find the height of an equilateral triangle with sides of length 6 cm ' please show ur work

Let the side length of the equilateral triangle be L. Bisect one angle of the equilateral triangle and let the bisector intersect the opposite side, in the middle. You will have split the original triangle into two 30-60-90 right triangles. The side lengths will be L, L/2 and L*sqrt3/2 for those triangles.

The last of those is the height of the original equilateral triangle.

height = 3 sqrt2 = 4.24264 cm

Thank you :D

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