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प्रश्न
In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC
If AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC.
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उत्तर
We have,
DE || BC
Therefore, by basic proportionality theorem, we have,
`"AD"/"DB"="AE"/"EC"`
`rArr4/4.5=8/"EC"`
`rArr"EC"=(8xx4.5)/4`
⇒ EC = 9cm
Now, AC = AE + EC
= 8 + 9
= 17 cm
∴ AC = 17 cm
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