AP EAMCET · Maths · Properties of Triangles
If in a \(\triangle A B C, r_1 < r_2 < r_3\), then:
- A \(a < b < c\)
- B \(a>b>c\)
- C \(b < a < c\)
- D \(a < c < b\)
Answer & Solution
Correct Answer
(A) \(a < b < c\)
Step-by-step Solution
Detailed explanation
We have \(r_1=\frac{\Delta}{s-a}, r_2=\frac{\Delta}{s-b}, r_3=\frac{\Delta}{s-c}\) Since, \(r_1 (s-b)>(s-c)\) \(\Rightarrow \quad-a>-b>-c\) \(\therefore \quad a < b < c\)
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