Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB
MathematicsMediumsingle choice
The perimeter of triangle ABC is 6 times the arithmetic mean of the sines of its angles. If a=1 and A is acute, find A.
Options:
Answer:
A
Solution:
From a+b+c=2R(sin A+sin B+sin C)=2(sin A+sin B+sin C), R=1. Therefore a=2R sin A gives sin A=1/2; the given acute-angle condition selects A=/6.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based
⏱ 2mℹ️ Source: QB
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