AP EAMCET · Maths · Properties of Triangles
In a \(\triangle A B C\), the sides \(a, b, c\) are in A.P. if and only if \(r_1, r_2, r_3\) are in
- A A.P.
- B G.P.
- C H.P.
- D A.G.P
Answer & Solution
Correct Answer
(C) H.P.
Step-by-step Solution
Detailed explanation
If \\(a,b,c\\) are in A.P., then \\(a-b = b-c\\). \\((s-b)-(s-a) = a-b\\) and \\((s-c)-(s-b) = b-c\\). Thus, \\(s-a, s-b, s-c\\) are in A.P. If \\(X, Y, Z\\) are in A.P., then \\(\\frac{1}{X}, \\frac{1}{Y}, \\frac{1}{Z}\\) are in H.P. So, \…
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