Trapezoid - intersection of diagonals

In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area.

Correct result:

S =  36 cm2

Solution:

a=8 cm h=6 cm h1=4 cm  h2=hh1=64=2 cm a:c=h1:h2 c=a h2h1=8 24=4 cm  S=a+c2 h=8+42 6=36 cm2



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