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

In Triangle ABC If B and in Triangle PQR Q are acute angles such that sinB=sinQ then prove that B=Q
1002060_01b90fd12deb4dca9251e9168b9e5334.PNG

Open in App
Solution

AC=k.PR
AB=k.PQ

FromrightACB,
Bypythagorastheoremwehave,

AB2=AC2+BC2
(k.PQ)2=(k.PR)2+BC2
BC2=k2[PQ2PR2]

BC=kPQ2PR2........(1)

Fromright PRQ,bypythagorasthm,
PQ2=PR2+QR2
QR2=PQ2PR2

By putting in (1) we have BC=kQR

henceACBPRQ{SSSsimilaritycriteria}
B=Q

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