A trapezoid with an area of 166.75 in has bases that measure 21 in and 8 in find the height of the trapezoid

The formula for the area of a triangle is A= (a+b/2)•h. We substitute in the values we know to find h, which is the height:

•166.75= (21+8/2)•h. Add 21 and 8 so you can simplifying the fraction.
•166.75= (29/2)•h. Divide 29 by 2.
•166.75= 14.5h. Divide both sides by 14.5 so you can get h by itself.
•h=11.5.

The height of the trapezoid is 11.5 inches.