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The height of a triangle is the length of the perpendicular dropped to the base (extended if necessary) from the opposite vertex. This depends on which side is the base, unless the triangle is equilateral. For example, if you have a tall skinny isosceles triangle whose equal sides are a mile long and the third side is an inch long, the height is about a mile if you choose the third side as the base. If you choose either of the other two sides as base, the height will be about an inch.

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