In the Given Figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3CM, Then BD IS - Mathematics

admin سبتمبر 21, 2021
In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is



(a) 22/3 cm

(b) 26/3 cm

(c) 55/3 cm

(d) 64/3 cm




(c) 55/3 cm

Explanation:

∆ACD ~∆ ABC( AA )

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

`"8"/"AB"` = `"3"/"8"`

= AB = `64/3` cm.

So,

BD = AB - AD

= `64/3` - 3

= `55/3` cm.




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