#### Question

In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC

If AD = 6 cm, DB = 9 cm and AE = 8 cm, find AC.

#### Solution

We have,

DE || BC

Therefore, by basic proportionally theorem,

We have

`"AD"/"DB"="AE"/"EC"`

`rArr6/9=8/"EC"`

`rArr2/3=8/"EC"`

`rArr"EC"=(8xx3)/2`

⇒ EC = 12 cm

⇒ Now, AC = AE + EC = 8 + 12 = 20 cm

∴ AC = 20 cm

Is there an error in this question or solution?

Solution In δAbc, D and E Are Points on the Sides Ab and Ac Respectively Such that De || Bc If Ad = 6 Cm, Db = 9 Cm and Ae = 8 Cm, Find Ac. Concept: Basic Proportionality Theorem Or Thales Theorem.