Question

In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is ______.

पर्याय

• `22/3`cm

• `26/3`cm

• `55/3`cm

• `64/3`cm

Answer 1

In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is `underline(55/3"cm")`.

Explanation:-

∆ACD ~∆ ABC(AA)

`therefore"AC"/"AB"="AD"/"AC"`(CPST)

`8/"AB"=3/8`

This gives `AB=64/3"cm"`

So BD = AB - AD = `64/3-3=55/3"cm"`