Given r=2, r a =4, s=12 and a<b<c, match the quantities. List I List II (A) Area Δ . (P) 22 (B) 4+4R. (Q) 24 (C) Angle A. (R) arcsin(4/5) (D) Angle B. (S) arcsin(3/5)

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MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB

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Given r=2, $r_{a}$ =4, s=12 and a<b<c, match the quantities.

Answer:

Solution:

$Δ$ =rs=24 and (s-a)/s=r/ $r_{a}$ =1/2, hence a=6. Heron and a<b<c give (a,b,c)=(6,8,10) and R=5. Thus 4+4R=24, sin A=3/5 and sin B=4/5.

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

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