
Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Area of Triangles
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Last updated at May 29, 2023 by Teachoo
Question 14 In figure, AP BQ CR. Prove that ar(AQC) = ar(PBR). Given: AP BQ CR To prove: ar(AQC) = ar(PBR) Proof: Since ABQ and PBQ lie on the same base BQ and are between parallel lines BQ & AP ar(ABQ) = ar(PBQ) Also, CBQ and RBQ lie on the same base BQ and are between parallel lines BQ & CR ar(CBQ) = ar(RBQ) Adding (1) & (2) ar(AQB) + ar(BQC) = ar(PBQ) + ar(QBR) ar(AQC) = ar(PBR). Hence proved