AP EAMCET · Maths · Properties of Triangles
In \(\triangle \mathrm{ABC}\), if \(r_1=4, r_2=8, r_3=24\) then \(a=\)
- A \(0\)
- B \(\frac{16}{\sqrt{5}}\)
- C \(16 \sqrt{5}\)
- D \(\sqrt{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{16}{\sqrt{5}}\)
Step-by-step Solution
Detailed explanation
\(r_1=4, r_2=8, r_3=24\) we know, \(\frac{1}{r}=\frac{1}{4}+\frac{1}{8}+\frac{1}{24} \Rightarrow r=\frac{12}{5}\) We know, \(\Delta^2=r r_1 r_2 r_3 \Rightarrow \Delta=\frac{96}{\sqrt{5}}\) Again, we know…
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