The bases of a trapezoid are 10 units and 16 units, and its area is 117 square units. What is the height of this trapezoid?

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Answer 1 · 2015-11-14T00:57:04

The height of the trapezoid is #9#

The area #A# of a trapezoid with bases #b_1# and #b_2# and height #h# is given by

#A = (b_1 + b_2)/2h#

Solving for #h#, we have

#h = (2A)/(b_1+b_2)#

Inputting the given values gives us

#h = (2*117)/(10+16) = 234/26 = 9#