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iit jee Grade: 12
        

AP, BQ, CR r the diameters of the circumcircle of triangle ABC. Let a1, a2, a3, a be areas of triangles BPC, CQA, ARB and ABC respectively. Then i) a1 =


 ii) a1+ a2+a3,=


iii) BP2 + CQ2 + AR2 =


 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear




6912-968_7662_untitled.JPG


BP2 =AP2 -AB2


     =4R2 -c2


similerly


CP2 =AP2 -AC2


     =4R2 -b2


We know  Δ =abc/4R


trianble BPC also have same circumradius


so a1=BC*CP*PB/4R


        =a V(4R2 -b2) V(4R2 -c2) /4R


similerly you can find a2 and a2


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Badiuddin

7 years ago
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