wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure, DEBC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm. Select the statements that hold true.


A

ME = 3.75 cm, DM = 15 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

ME = 3.75 cm, DM = 12 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

ME = 4 cm, DM = 10 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

ME = 3.25 cm, DM = 15 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

ME = 3.75 cm, DM = 15 cm


In the given figure,

DEBC

AE = 15 cm, EC = 9 cm

NC = 6 cm and BN = 24 cm

In ΔABC

DEBC

Pairs of similar triangles are

(a) ΔADEΔABC

(b) ΔADMΔABN

(c) ΔAMEΔANC

In ΔAMEΔANC (corresponding sides are proportional)

1515+9=ME6=DM24

ME=15×624=154=3.75 cm

Similarly

In ΔADEΔABC (corresponding sides are proportional)

1515+9=DM+ME24+6

1524=DM+3.7530

DM+3.75=18.75

DM=15 cm


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Application of BPT
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon