Question

ABC is a triangle whose sides AB = 6 cm, BC = 8 cm and AC = 12 cms. D is such a point situated on AC that angle ADB = angle ABC. Find the length of BD ?

Answer 1

In `Delta ABD and Delta ABC`

• `/_BAD=/_BAC ("common")`

• `/_ADB=/_ABC ("given")`

• `/_ABD=/_ACB ("remaining")`

So `Delta ABD and Delta ABC` are SIMILAR

Hence

`(BD)/(BC)=(AB)/(AC)`

`BD=(ABxxBC)/(AC)=(6xx8)/12=4cm`