SOLUTION: In a trapezoid ABCD with legs AB and CD, the diagonals intersect each other at point O.
Prove: OA·OB=OC·OD.
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-> SOLUTION: In a trapezoid ABCD with legs AB and CD, the diagonals intersect each other at point O.
Prove: OA·OB=OC·OD.
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a trapezoid with legs and , the diagonals intersect each other at point:
Observe that triangles
and are similar ==> property of trapezoid
so ==> definition of similarity
then ==> cross-products
