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Trapezoid ABCD has parallel sides AB and CD, of lengths a and b respectively. Diagonals AC and BD intersect at E. Draw the line through

 Trapezoid ABCD has parallel sides AB and CD, of lengths a and b respectively. Diagonals AC and BD intersect at E. Draw the line through E that is parallel to AB and CD, and let P and Q be its intersections with AD and BC respectively.

(a) Prove that E is the midpoint of PQ.

(b) Show that PQ=1/[1/2(1/a + 1/b)] . PQ is known as the harmonic mean of a & b.

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a Proving E as the Midpoint of PQ To prove that point E is the midpoint of segment PQ well use the c... blur-text-image

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