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

Question

2 years ago

9

= 3/4

1 answer:

NeX [460] · Answer 1 · 2022-05-14T04:55:10+03:00

NeX [460]2 years ago

6 0

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