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BAC~ RPQ
Therefore... AB/RP=AC/PQ=BC/RQ and angle A= angle P and angle B= angle Rand angle C =angle Q.....
In triangle BAC and triangle RPQ... AD and PS ARE BISECTORS : 90 DEGREE
In triangle BAD and triangle RPS
Angle B = Angle R [P.A]
Angle ADB = Angle PSR [90]
Traingle BAD ~ Traingle RPS
BA/RP=AD/PS=BD/SR
BA/RP=AD/PS
AD/PS=AC/PQ=BC/RQ=AB/RP
ar[ABC]/ar[PQR]= AB^2/RP^2=AC^2/PQ^2=BC^2/RQ^2
ar[ABC]/ar[PQR]= AD^2/PS^2
sandramaria:
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