Trapezoid ABCD has parallel sides AB and CD, of lengths a and b respectively. Diagonals AC and
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Question:
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.
Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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