Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedEasy2 minQB

MathematicsEasyinteger

In $△ A BC$ , if $r_{1} = 6, R = 5, r = 2$ , then the value of $3 tan A$ is

Answer:

Solution:

$r_{1} - r = 4 R sin^{2} \frac{A}{2} \Rightarrow 4 = 20 sin^{2} \frac{A}{2} \Rightarrow sin \frac{A}{2} = \frac{1}{5}$

$tan A = \frac{2 \times \frac{1}{2}}{1 - \frac{1}{4}} = \frac{4}{3} \Rightarrow 3 tan A = 4$

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

⏱ 2mℹ️ Source: QB

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