Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB
MathematicsMediumsingle choice

In triangle ABC, r=1, R=4, and =8. Find ab+bc+ca.

Options:

Answer:
B
Solution:

s=/r=8. The inradius/exradius identities are r_1+r_2+r_3=r+4R=17 and r(r_1+r_2+r_3)=ab+bc+ca-. Thus ab+bc+ca=17+64=81.

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based
⏱ 2mℹ️ Source: QB

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