AP EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C\), if \(r_1>r_2>r_3\), then which of the following is true?
- A \(a>b>c\)
- B \(a>b, b < c\)
- C \(a < b < c\)
- D \(a < b, b>c\)
Answer & Solution
Correct Answer
(A) \(a>b>c\)
Step-by-step Solution
Detailed explanation
\(r_1>r_2>r_3\) \(\begin{array}{ll}\Rightarrow & \frac{\Delta}{s-a}>\frac{\Delta}{s-b}>\frac{\Delta}{s-c} \\ \Rightarrow & (s-a) b>c\end{array}\)
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