Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB
MathematicsMediumsingle choice
If cot(A/2)=(b+c)/a, classify triangle ABC.
Options:
Answer:
C
Solution:
Sine law and sum formula give (b+c)/a=[sin B+sin C]/sin A=cos[(B-C)/2]/sin(A/2). Thus cos(A/2)=cos[(B-C)/2]; as angles in range, A=|B-C|, so whichever of B,C is larger is 90°.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)
⏱ 2mℹ️ Source: QB
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