Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB

MathematicsMediumsingle choice

In triangle ABC, 2a = p(1/r_2+1/r_3)+q(1/r-1/r_1). Find p+q.

Answer:

Solution:

1/r_2+1/r_3=((s-b)+(s-c))/ $Δ$ =a/ $Δ$ , and 1/r-1/r_1=(s-(s-a))/ $Δ$ =a/ $Δ$ . Hence RHS=(p+q)a/ $Δ$ , so p+q=2 $Δ$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based

⏱ 2mℹ️ Source: QB

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