tmua.me Medium Set C Paper 1 · Question 16

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tmua.me Medium Set C Paper 1 · Q16

Paper 1Geometry

In trapezium $ABCD$ , the sides $AB$ and $DC$ are parallel, with

AB=6,\qquad DC=2.

The points $E$ and $F$ lie on $AD$ and $BC$ , respectively. The segment $EF$ is parallel to $AB$ and divides the trapezium into two regions of equal area.

What is the length of $EF$ ?

2\sqrt3

4

2\sqrt5

3\sqrt2

5

\sqrt{10}

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