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AP EAMCET · Maths · Properties of Triangles

In \(\triangle A B C\), if \(a: b: c=4: 5: 6\), then the ratio between the circumradius and the inradius is

  1. A \(\frac{16}{7}\)
  2. B \(\frac{16}{9}\)
  3. C \(\frac{7}{16}\)
  4. D \(\frac{11}{7}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{16}{7}\)

Step-by-step Solution

Detailed explanation

Given \(a: b: c=4: 5: 6\) To find R : r Where, R is circumradius and r is inradius. Let a + 4k, b = 5k and c = 6k…