I may be wrong, but I'm quite sure that the area of a triangle is b x h divided by 2. In other words, base multiplied by height, divided by 2. and your father is awesome.
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Area of a triangle: 0.5*base*perpendicular height
the area of a triangle is base times height times one half and rectangle is length times width
Area of Triangle= 1/2(ab) You must multiply length b and length a together and then half it.
Probably Heron wanted a way to calculate the area of the triangle.
in finding the area if a square or rectangle multiply the length and width, for a triangle, multiply length and width divided by two.