WBJEE · Maths · Properties of Triangles
The angles of a triangle are in the ratio 2: 3: 7 and the radius of the circumscribed ircle is \(10 \mathrm{cm}\). The length of the smallest ide is
- A \(2 \mathrm{cm}\)
- B \(5 \mathrm{cm}\)
- C \(7 \mathrm{cm}\)
- D \(10 \mathrm{cm}\)
Answer & Solution
Correct Answer
(D) \(10 \mathrm{cm}\)
Step-by-step Solution
Detailed explanation
Given, that angles of a triangles are \(2 x, 3 x\) and \(7 x\) Since, \(2 x+3 x+7 x=180\) \(\Rightarrow 12 x=180^{\circ} \Rightarrow x=15^{\circ}\) So, angles are \(30^{\circ}, 45^{\circ}\) and \(105^{\circ}\) Now, \(\frac{a}{\sin 30^{\circ}}=2 R\)…
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