A triangle is a polygon with three sides. The height of a triangle is a perpendicular line segment from one side to an opposite vertex. If you made a flipped copy of the triangle, you could put the two triangles together to form a parallelogram. The parallelogram has a base equal to the base of one triangle and height equal to the height of one triangle. Recall that the area of a parallelogram is A = b × h. Since it takes two identical triangles to make a parallelogram, the area of a triangle is A = ½(b × h), or A = ½bh.

Area of Triangles using the Brainingcamp Geoboard virtual manipulative.

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