Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB

MathematicsMediumsingle choice

In triangle ABC, if B=90°, find arccos[R/(r_1+r_3)], where r_1,r_3 are exradii opposite A,C respectively.

Answer:

Solution:

r_1+r_3=4R $cos^{2} (B /2)$ =4R $cos^{2}$ 45°=2R. Therefore the arccos argument is 1/2 and the angle is $π$ /3.

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

⏱ 2mℹ️ Source: QB

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