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Q-7. In the given figure, ∆PQC …

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Q-7. In the given figure, ∆PQC and ∆PRC are such that QC = PR and PQ = CR, Prove that /PCQ=/CPR.

Posted by Arun Kushwah 5 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Yogita Ingle 5 years, 1 month ago

In triangle PQC and triangle PRC,
Given - QC= PR
PQ=CR
To prove:- angle PCQ= angle CPR

Proof:- In triangle PQCand triangle PRC:-
QC=PR [GIVEN]
PQ=CR [GIVEN]
andPC=PC [COMMON]
by SAS similarly criterion, triangle PQC is congruent to triangle PRC.
therefore by C.P.C.T
angle PCQ =angle CPR

1Thank You

Meenkashi Singh 5 years, 1 month ago

PQ=PR (Given) ∴∠PQR=PRQ (Angles opposite to equal sides) QC=RC (Given) △PQC≅△CPR By SAS criteria

1Thank You

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