AP EAMCET · Maths · Properties of Triangles
If in the angles of a triangle are in the ratio \(1: 1: 4\), then the ratio of the perimeter of the triangle to its largest side is
- A \(\sqrt{2}+2: \sqrt{3}\)
- B \(3: 2\)
- C \(\sqrt{3}+2: \sqrt{2}\)
- D \(\sqrt{3}+2: \sqrt{3}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{3}+2: \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Given, the ratio of angles of a triangle is \(1: 1: 4\). Let angles of a triangle are \(A, B\) and \(C\). \[ \therefore \quad A: B: C=1: 1: 4 \] Let \(A=x, B=x\) and \(C=4 x\)…
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