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Question: Answered & Verified by Expert
In ΔABC, r1-ra+r2-rb+r3-rc=
MathematicsProperties of TrianglesAP EAMCETAP EAMCET 2018 (25 Apr Shift 1)
Options:
  • A r1+r2+r3s
  • B r1+r2+r32s
  • C r1+r2+r32
  • D r1+r2+r33s
Solution:
1503 Upvotes Verified Answer
The correct answer is: r1+r2+r3s

We have, r1-ra+r2-rb+r3-rc

1as-a-s+1bs-b-s+1cs-c-s

=ss-a+ss-b+ss-c

=r1s+r2s+r3s

=r1+r2+r3s

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