In a line segment if pq=rm,prove that pr=qm
Answers
Answered by
37
____________________________________
P Q R M
Given:
PQ=RM
To prove that:
PR=QM
Solution:
PQ=RM ________(Given)
Hence,
PM - RM = PR. _____ 1
But as PQ=RM, it can also be PM - PQ = PR . _2
Similarly,
PM - PQ = RM . _____ 3
Hence , from 2 and 3,
PM - PQ = PM - PQ
Hence, PR = RM
P Q R M
Given:
PQ=RM
To prove that:
PR=QM
Solution:
PQ=RM ________(Given)
Hence,
PM - RM = PR. _____ 1
But as PQ=RM, it can also be PM - PQ = PR . _2
Similarly,
PM - PQ = RM . _____ 3
Hence , from 2 and 3,
PM - PQ = PM - PQ
Hence, PR = RM
Similar questions
Science,
7 months ago
English,
7 months ago
Social Sciences,
1 year ago
Hindi,
1 year ago
Math,
1 year ago
Computer Science,
1 year ago