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If it is a right triangle, you can use the Pythagorean theorem to find the height since it will be

on of the sides.

If it is an equilateral triangle, you can break it up into two right triangles and use the part above.

If it is an oblique triangle, you use the angles and some trigonometry to find it.

Since the area is 1/2 b x h, if you are given the area, you can solve for the height.

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Q: How do you find the perpendicular height of a triangle?
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