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IMSO 2005 Mathematics - International Essay Question 13

IMSO Maths · IMSO 2005 Mathematics - International Essay

Question 13

In the figure, ABCD is a trapezoid with parallel sides $AD=8$ cm, $BC=14$ cm and non-parallel sides $AB=8$ cm, $CD=12$ cm. A line EF is drawn parallel to BC so that the perimeters of each of the two trapezoids formed are equal. What is the length of CF?

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