Length 26

Length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is:

Correct answer:

c =  5 in

Step-by-step explanation:

m=10 in S1:S2=3:5  (a+c)/2=m a+c=2 m=20 in  h1=h2 h1+h2=h  S1=h1 (a+m)/2 S2=h2 (c+m)/2=h1 (c+m)/2  h1 (c+m)/2:h1 (a+m)/2=3:5  (c+m):(a+m)=3:5  (c+m)=53 (a+m) (a+c)/2=m (c+10)=53 (a+10) (a+c)/2=10  (c+10)=3/5 (a+10) (a+c)/2=10  3a5c=20 a+c=20  Row231 Row1Row2 3a5c=20 2.67c=13.33  c=2.6666666713.33333333=5 a=320+5c=320+5 5=15  a=15 c=5=5 in

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