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.

Answer rating: 100% (QA)

a Proving E as the Midpoint of PQ To prove that point E is the midpoint of segment PQ well use the c... View the full answer