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Since you need a little bit of trigonometry to solve this problem, I'm pretty sure you've had a little bit of trigonometry in class before you were assigned to solve this problem.
-- The shaded triangle comes from taking the equilateral triangle and either folding it in half or cutting it in half.
-- The base that the new triangle is standing on is 1/2 the base of the equilateral triangle, so it's 7 cm long.
-- The acute angle at the right end of the base is the same as it was in the equilateral triangle . . . 60 degrees.
-- The tangent of 60 degrees is (opposite side)/(adjacent side) = x / 7 cm
tan(60) = x/7
-- Multiply each side of this little equation by 7 : 7 tan(60) = x
If you don't have the tangent of 60 degrees in your pocket, you can find it with your calculator. Multiply it by 7, and Shazam, you know 'x' .
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