CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the given figure, ∆ABC and ∆ABD are such that AD = BC, ∠1 = ∠2 and ∠3 = ∠4. Prove that BD = AC.
Figure

Open in App
Solution

In ABC and ABD,AD= BC GivenAB = AB Common sideGiven: 1 = 2and 3 = 4Therefore, 1 +3 = 2 + 4 DAB = ABC By SAS, DAB CBATherefore, BD = AC Corresponding sides of congruent triangles are equal

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Criteria for Congruency
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon