ABCD is a trapezium such that BC is parallel to AD and AB = 4cm if the diagonals AC and - Maths - Triangles

Question

ABCD is a trapezium such that BC is parallel to AD and AB = 4cm
if the diagonals AC and BD intersect at O such that AO/ OC = DO/ OB
= 1/ 2 , then BC = ?
de optons r
a 7cm
b 8cm
c 9cm
d 6cm
why?plz answer!!!

Guru Prasad Singh · Accepted Answer

In AOB and COD,
angle AOB=Angle COD(Vertically opposite angles
)
AO/OC=DO/OB (Given)
Therefore using AA similar
condition,
AOB~COD
AO/OC=BO/OD=AB/DC
=>1/2=4/DC
=> 8cm =DC
Therefore option b)8cm is correct
And it will be DC instead of BC

ABCD is a trapezium such that BC is parallel to AD and AB = 4cm.if the diagonals AC and BD intersect at O such that AO/ OC = DO/ OB = 1/ 2 , then BC = ? de optons r... a. 7cm b.8cm c.9cm d.6cm why?plz answer!!!

ABCD is a trapezium such that BC is parallel to AD and AB = 4cm.if the diagonals AC and BD intersect at O such that AO/ OC = DO/ OB = 1/ 2 , then BC = ?

de optons r...

a. 7cm

b.8cm

c.9cm

d.6cm

why?plz answer!!!