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
Mathematics
elizabethburkha
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

1. User Answers sqdancefan
Answer:
BD = 8 cm
Stepbystep 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