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

in fig., we have AB||CD||EF. if AB=6 cm,CD=x cm, EF=10 cm, BD=4cm and DE=y cm, calculate the values of x and y.
1063954_88ae6f2619e94eb68654d7f17b656e46.jpg

Open in App
Solution

Consider ADB and EDF,

ADB=EDF(Vertical angles)

ABD=FED(Alternate angles)

BAD=EFD(Alternate angles)

ADBEDF(ASA criteria)

Corresponding sides of similar triangles are proportional.

BDDE=ABFE

4y=610

6y=40

y=203

Hence, DE=203cm

BE=4+y=4+203=323

Similarly, by AA criteria,
ABECDE

DEBE=DCBA

(203)(323)=x6

x=58×6=154

Hence, the value of x and y are 154 and 323 respectively.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Classification of Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon