In trapiziod ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD, if BO=6 cm and A/O=3/1
1 answer:
Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
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