AP EAMCET · Maths · Properties of Triangles
In a triangle, if the ex-radii \(r_1, r_2, r_3\) are in the ratio \(1: 2: 3\), then its sides are in the ratio
- A \(5: 8: 9\)
- B \(5: 4: 3\)
- C \(7: 9: 11\)
- D \(1: 2: 3\)
Answer & Solution
Correct Answer
(A) \(5: 8: 9\)
Step-by-step Solution
Detailed explanation
Given that, \(r_1, r_2, r_3\) are ex-radii of triangle and \[ \begin{aligned} & r_1: r_2: r_3=1: 2: 3 \\ & r_1=x, r_2=2 x, r_3=3 x \end{aligned} \] On adding Eqs. (i), (ii) and (iii), we get…
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