Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB

MathematicsMediumsingle choice

If the exradii of triangle ABC are r_1=8, r_2=12, r_3=24, find C.

Answer:

Solution:

From 1/r= $\sum 1$ /r_i=1/8+1/12+1/24=1/4, r=4. Since a/ $Δ$ =1/r-1/r_1=1/8, b/ $Δ$ =1/6 and c/ $Δ$ =5/24, we have a:b:c=3:4:5; hence C= $π$ /2.

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

⏱ 2mℹ️ Source: QB

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