AP EAMCET · Maths · Properties of Triangles
In \(\triangle A B C\), if \(r_1=2 r_2=3 r_3\), then
- A \(b+c=2 a\)
- B \(\mathrm{a}+\mathrm{b}=2 \mathrm{c}\)
- C a + c \(=2 b\)
- D \(\Delta=a b c\)
Answer & Solution
Correct Answer
(C) a + c \(=2 b\)
Step-by-step Solution
Detailed explanation
Given, In a \(\triangle A B C\), if \(r_1=2 r_2=3 r_3\) Then, we have \(\frac{\Delta}{s-a}=2 \times \frac{\Delta}{s-b}=3 \times \frac{\Delta}{s-c}\) \(\Rightarrow \frac{1}{s-a}=\frac{2}{s-b}=\frac{3}{s-c}=k\) (let)…
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