ANSWERS: 2
  • A nice way is to find the area of the triangle using Area = half base times height. Since the (a) side and the (a sqrt(3)) sides are at right angles, you can take one to be the base and the other the height to get Area = (1/2) (a) (a sqrt(3)) But now if you take the (2a) side to be the base, then you get Area = (1/2) (2a) h where h is what you want to know. The two areas are equal so: (1/2) (a) (a sqrt(3)) = (1/2) (2a) h a sqrt(3) = 2 h (1/2) a sqrt(3) = h You could also have used similar triangles, as the perpendicular from the peak makes two more 30-60-90 triangles. The ratios of the sides in the large triangle are the same as the ratios of the three sides in the smaller triangles.
  • If you want to understand how this is done, check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand! http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html

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