1.

In a right triangle ABC right-angled at C, P and Q are the points on the sides CA and CB respectively, which divide these sides in the ratio 2:1. Prove that [4 MARKS] (i) 9AQ2=9AC2+4BC2 (ii) 9BP2=9BC2+4AC2 (iii) 9(AQ2+BP2)=13AB2

Answer»

In a right triangle ABC right-angled at C, P and Q are the points on the sides CA and CB respectively, which divide these sides in the ratio 2:1.


Prove that [4 MARKS]

(i) 9AQ2=9AC2+4BC2

(ii) 9BP2=9BC2+4AC2

(iii) 9(AQ2+BP2)=13AB2



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