Mathematics

Question

In trapezoid ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD , if BO=6 cm and: AO/AC = 3/4

1 Answer

  • Answer:

    BD = 8 cm

    Step-by-step explanation:

    Point O divides the diagonals proportionally, so ...

    ... AO/AC = BO/BD = 3/4

    Then ...

    ... BO = BD·3/4 . . . . . multiply by BD

    ... BD = 4/3·BO = 4/3·(6 cm) . . . . . multiply by 4/3; substitute the value of BO

    ... BD = 8 cm

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