Use the Sine Rule to find the radius of the circumcircle.

April 16, 2026Mathematics

ScanSolve AI Answer

April 16, 2026

Answer

\frac{b}{\sin B} = \frac{c}{\sin C} = 2R $$

Step 1: Use the Sine Rule to find the radius of the circumcircle. The Sine Rule states that for any triangle with sides $a, b, c$ and opposite angles $A, B, C$ , respectively, and circumradius $R$ : $\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} = 2R$ In triangle RSQ, we are given: Side $QR = 12 \text{ cm}$ Angle $\angle RSQ = 50^\circ$ (This angle is opposite to side $QR$ )

Step 2: Substitute the given values into the Sine Rule formula.

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Use the Sine Rule to find the radius of the circumcircle.

Asked on April 16, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 16, 2026

Step 1: Use the Sine Rule to find the radius of the circumcircle. The Sine Rule states that for any triangle with sides a, b, c and opposite angles A, B, C, respectively, and circumradius R: (a)/( A) = (b)/( B) = (c)/( C) = 2R In triangle RSQ, we are given: Side QR = 12 cm Angle RSQ = 50^ (This angle is opposite to side QR) Step 2: Substitute the given values into the Sine Rule formula. (QR)/(( RSQ)) = 2