Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
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Area of a triangle = 0.5 times base times height
Area of a triangle = 0.5 times base times perpendicular height
area of a triangle = 1/2 base x height ie times the area by two then divide by the base = height
The area of a triangle is half the base times height.
The area of a triangle is (1/2)bh (one-half times base times height). Height must be measured perpendicular to the base.