CBSE Class 10CBSE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution for In δAbc, D and E Are Points on the Sides Ab and Ac Respectively Such that De || Bc If `"Ad"/"Db"=2/3` And Ac = 18 Cm, Find Ae - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

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

If `"AD"/"DB"=2/3` and AC = 18 cm, find AE

Solution

We have,

`"AD"/"DB"=2/3`and DE || BC

Therefore, by basic proportionality theorem, we have

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

`rArr3/2="EC"/"AE"`

Adding 1 on both sides, we get

`rArr3/2+1="EC"/"AE"+1`

`rArr(3+2)/2=("EC"+"AE")/"AE"`

`rArr5/2="AC"/"AE"`               [∵ AE + EC = AC]

`rArr5/2=18/"AE"`                 [∵ AC = 18]

`rArr"AE=(18xx2)/5"`

`rArr"AE"=36/5=7.2 " cm"`

 

  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [1]

Solution for question: In δAbc, D and E Are Points on the Sides Ab and Ac Respectively Such that De || Bc If `"Ad"/"Db"=2/3` And Ac = 18 Cm, Find Ae concept: Basic Proportionality Theorem Or Thales Theorem. For the course CBSE
S
View in app×