Please solve this Multiple options are correct Please solve this Multiple options are correct C. A ABC the value of (r, — r) can be (abc)a R (a.b+c)• Share with your friends Share 0 Vivek Rai answered this Dear student, We have, r1=△s-a, r2=△s-b, r3=△s-c, r=△sso ∏(r1-r)=∏(△s-a-△s)=∏△(s-s+as(s-a))=∏(△as(s-a))=△as(s-a).△bs(s-b).△cs(s-c)=abc△3s2.s(s-a)(s-b)(s-c)As by heron's formlae, we have s(s-a)(s-b)(s-c)=△2, so∏(r1-r)= abc△s2=abc.abc4R(a+b+c2)2=(abc)2R(a+b+c)2, as R=abc4R, option c is correct Also tanA2.tanB2.tanC2=(s-b)(s-c)s(s-a).(s-c)(s-a)s(s-b).(s-a)(s-b)s(s-c)=(s-b)(s-c)(s-a)s3=s(s-b)(s-c)(s-a)s4=△s2so, abc∏tanA2=abc△s2 so option a is correct Also, abc△s2=4R△2s2, as △=abc4Rso , abc△s2=4R△2s2=4R△s2=4Rr2, option D is correct. Hope this clears your doubt With regards 0 View Full Answer
