TS EAMCET · Maths · Properties of Triangles
In triangle \(\mathrm{ABC}\), if \(a=7, b=10, c=11\), then \(\frac{\mathrm{R}}{r}=\)
- A 14
- B 77
- C \(\frac{24}{11}\)
- D \(\frac{55}{24}\)
Answer & Solution
Correct Answer
(D) \(\frac{55}{24}\)
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { } \mathrm{S}=\frac{7+10+11}{2}=14 \\ & \Delta=\sqrt{14(14-7)(14-10)(14-11)} \\ & =\sqrt{14 \times 7 \times 4 \times 3} \end{aligned} \] We have \[ \mathrm{R}=\frac{\mathrm{abc}}{4 \mathrm{D}} \text { and } \mathrm{r}=\frac{\Delta}{\mathrm{S}} \]…
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