Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB
MathematicsMediumsingle choice
Quadrilateral ABCD is cyclic and tangential, with AB=a, BC=b, CD=c, DA=d. Find , where A=.
Options:
Answer:
C
Solution:
A tangential quadrilateral has a+c=b+d. For a cyclic quadrilateral, the standard side formula simplifies to cos A=(ad-bc)/(ad+bc). Thus =(1-cos A)/(1+cos A)=bc/(ad).
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based
⏱ 2mℹ️ Source: QB
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