SOLUTION: The area of a trapezoid is 144 square inches. If the height is 12 inches, find the length of the median.

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Question 187459This question is from textbook
: The area of a trapezoid is 144 square inches. If the height is 12 inches, find the length of the median.This question is from textbook

Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!


Take to consider in finding the Area of a Trapeziod:
A=(1/2)(h)(b1+b2)
Substitute givensystem%28A=144sqin%2Ch=12in%29
144in%5E2=%281%2F2%29%2812%29%28b%5B1%5D%2Bb%5B2%5D%29--->cross%28144%2912%2Fcross%2812%29=%28%281%2F2%29%28cross%2812%291%29%28b%5B1%5D%2Bb%5B2%5D%29%2Fcross%2812%29%29
12=%28b%5B1%5D%2Bb%5B2%5D%29%2F2---->*Take note: Length of the Median is the Average length of the bases, given by formula==>(b1+b2)/2. See below:
drawing%28400%2C400%2C-6%2C6%2C-1%2C4%2Cline%28-5%2C0%2C-3%2C3%29%2Cline%28-3%2C3%2C3%2C3%29%2Cline%283%2C3%2C5%2C0%29%2Cline%285%2C0%2C-5%2C0%29%2Cgraph%28400%2C400%2C-6%2C6%2C-1%2C4%2C1.5%29%2Cline%28-5%2C0%2C5%2C0%29%2Cgreen%28locate%28-1.5%2C1.75%2CMedian=%28b%5B1%5D%2Bb%5B2%5D%29%2F2%29%29%2Cgreen%28locate%28.5%2C3%2Cb%5B1%5D%29%29%2Cgreen%28locate%28.5%2C.5%2Cb%5B2%5D%29%29%29 ---> Therefore, Median=(b1+b2)/2=12inches Answer
Thank you,
Jojo