AP EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C, a: b: c=4: 5: 6\). The ratio of radius of the circumcircle to that of the incircle is
- A \(7: 16\)
- B \(17: 16\)
- C \(16: 17\)
- D \(16: 7\)
Answer & Solution
Correct Answer
(D) \(16: 7\)
Step-by-step Solution
Detailed explanation
Given, \(\frac{a}{4}=\frac{b}{5}=\frac{c}{6}=k\) (say) \(\Rightarrow \quad a=4 k, b=5 k, c=6 k\) \(s=\frac{a+b+c}{2}=\frac{15 k}{2}\) \(\dot{\Delta}=\sqrt{s(s-a)(s-b)(s-c)}\)…
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