Trapezoid - central median

The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas.

Correct answer:

p = (3a+c)/(a+3c)

Step-by-step explanation:

S1 = ((a+c)/2+c)h/2 S2 = ((a+c)/2+a)h/2 p = S2:S1 =  ((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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