# Trapezoid - central median

The central median divides the trapezoid into two smaller trapezoids. Determines the ratio of their contents.

Result

p = (Correct answer is: (3a+c)/(a+3c))

#### Solution:

$S_{1}=((a+c)/2+c)h/2 \ \\ S_{2}=((a+c)/2+a)h/2 \ \\ p=S_{2}:S_{1}=((a+c)/2+a)/ ((a+c)/2+c) \ \\ p=(1.5a+0.5c)/(0.5a+1.5c) \ \\ p=(3a+c)/(a+3c)$

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