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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.

Mathematics

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Step 1: Identify the given information.
The figure shows a right-angled triangle.
The hypotenuse is 12 cm12 \text{ cm}.
The side opposite to the angle M∘M^\circ is 9 cm9 \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∘)=oppositehypotenuse\sin(M^\circ) = \frac{\text{opposite}}{\text{hypotenuse}}

Substitute the given values:

sin⁡(M∘)=9 cm12 cm\sin(M^\circ) = \frac{9 \text{ cm}}{12 \text{ cm}}
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