Question

A,B, C and D are concyclic. AC bisects BD. If AB=9cm, BC = 8 cm, and CD= 6 cm, then find the
measure of AD.​

Answer 1

here,

AB bisects BD

so, OD = OB .(1)

SO NOW ,

in triangle ABD ,

DA = AB

therefore : AD = 9cm

Answer 2

Answer:

Step-by-step explanation:By AA SIMILARITY,∆AOB~∆DOC

AB/CD=OB/OC

BY AA SIMILARITY,∆AOD~∆BOC

AD/BC=OD/OC

AC BISECTS BD. SO,OD=OB

AC/BC=OB/OC

THEREFORE,AD/BC=AB/CD

=>AD/8=9/6

=>AD=3/2×8=12 cm

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