# Distance Between Perpendicular Feet

Geometry Level 4

$$ABCD$$ is a parallelogram with side lengths $$AB=338, BC=260$$ and diagonal $$AC=338$$. Let $$E$$ be the foot of the perpendicular from $$A$$ to $$BC$$, let $$F$$ be the foot of the perpendicular from $$A$$ to $$CD$$. What is the value of $$EF$$?

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