Question

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"`?

Answer 1

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...

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`