Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB

MathematicsMediummultiple choice

Which of the following is true for a $△ A BC$

Options:(select one or more)

Answer:

A, B, C, D

Solution:

(A) $R \geq 2 r \Rightarrow R^{2} \geq \frac{4Δ R}{2 s} = \frac{ab c}{a + b + c}$ (B) If $C = 9 0^{\circ} : c = 2 R$ and $r + 2 R = (s - c) tan \frac{C}{2} + c = s - c + c = s$ (C) $sin 2 A + sin 2 B + sin 2 C = 4 sin A sin B sin C \leq \frac{3 3}{2}$ (D) $\frac{1}{r _{1}} + \frac{1}{r _{2}} + \frac{1}{r _{3}} = \frac{1}{r} \geq \frac{2}{R}$

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

⏱ 2mℹ️ Source: QB

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