wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

In ΔABC, AC = 15 cm and DE || BC. If ABAD=3, find EC.

A
5 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
10 cm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2.5 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9 cm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 10 cm
Given: DEBC
From basic proportionality theorem
ADDB=AEEC
Now, ABAD=AD+DBAD=1+DBAD1+DBAD=3DBAD=2ADDB=AEEC=122AE=ECAC=AE+EC(1)
On substituting value of EC in (1), we get
15=3AE5=AEEC=10cm

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Proportionality Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon