TS EAMCET · Maths · Properties of Triangles
The angles of a triangle are in the ratio \(3: 5: 10\). Then the ratio of the smallest side to the greatest side is :
- A \(1: \sin 10^{\circ}\)
- B \(1: 2 \sin 10^{\circ}\)
- C \(1: \cos 10^{\circ}\)
- D \(1: 2 \cos 10^{\circ}\)
Answer & Solution
Correct Answer
(D) \(1: 2 \cos 10^{\circ}\)
Step-by-step Solution
Detailed explanation
Let the angles of a triangle are \(3 x, 5 x\) and \(10 x\). \(\therefore \quad 3 x+5 x+10 x=180^{\circ}\) \(\Rightarrow \quad x=10^{\circ}\) \(\therefore\) Smallest angle of a triangle \(=30^{\circ}\) and the greatest angle \(=100^{\circ}\) Required ratio…
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