WBJEE · Maths · Properties of Triangles
ln a\(\Delta A B C,\) if \(\angle C=90^{\circ}, r\) and \(R\) are the inradius and circumrodius of the ABC respectively, then \(2(r+R)\) is equal to
- A \(b+c\)
- B \(c+a\)
- C \(a+b\)
- D \(a+b+c\)
Answer & Solution
Correct Answer
(C) \(a+b\)
Step-by-step Solution
Detailed explanation
Tangents drawn from external points are of equal length. \(\Rightarrow \quad B D=B E=a-r\) \([\because C D=r]\) and \(\quad A F=A E=b-r\) \([\because C F=r]\) \(A E+B E=A B\) \(\Rightarrow \quad b-r+a-r=2 R\) \(1 \because A B\) is a diameter of circumcircle]…
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