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

Answer 1

BD = 8 cm

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