Show the area of a trapezoid is #A_T = 1/2 (B+b)xxh# where #B= "Large base"#, #b= "is small base"# and #h= "altitude"#?

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1 Answer
Shwetank Mauria
May 9, 2016

Please see below.

Explanation:

Please refer to [Show that the area of a triangle is #A_Delta = 1/2 bxxh# where b is the base and h the altitude of...](https://socratic.org/questions/show-that-the-area-of-a-triangle-is-a-delta-1-2-bxxh-where-b-is-the-base-and-h-t)

Join #BD# in the above diagram.

Now area of triangle #ABD# will be #1/2xxBxxh#

and area of triangle #BCD# will be #1/2xxbxxh#

Adding the two area of trepezoid #A_T=1/2xxBxxh+1/2xxbxxh#

or = #1/2xx(B+b)xxh#

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