The hypotenuse of a right-angled triangle is 12 cm. The side opposite to angle M is 9 cm. Find the sine of angle M.

May 27, 2026Mathematics

ScanSolve AI Answer

May 27, 2026

Answer

\frac{opposite}{hypotenuse} $$

Step 1: Identify the given information. The figure shows a right-angled triangle. The hypotenuse is $12 \text{ cm}$ . The side opposite to the angle $M^\circ$ is $9 \text{ cm}$ .

Step 2: Apply the sine trigonometric ratio. The sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. $\sin(M^\circ) = \frac{opposite}{hypotenuse}$ Substitute the given values: $\sin(M^\circ) = \frac{9 cm}{12 cm}$

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Identify the given information. The figure shows a right-angled triangle.

Asked on May 27, 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 May 27, 2026

Step 1: Identify the given information. The figure shows a right-angled triangle. The hypotenuse is 12 cm. The side opposite to the angle M^ is 9 cm. Step 2: Apply the sine trigonometric ratio. The sine of an angle in a right-angled triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. (M^) = oppositehypotenuse Substitute the given values: (M^) = 9 cm12 cm (M^