Guest

AP, BQ, CR r the diameters of the circumcircle of triangle ABC. Let a 1 , a 2 , a 3, a be areas of triangles BPC, CQA, ARB and ABC respectively. Then i) a 1 = ii) a 1 + a 2 +a 3,= iii) BP 2 + CQ 2 + AR 2 =

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 =


 

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

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

Please feel free to post as many doubts on our discussion forum as you can.
 If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free