Subjects geometry

Special Right Triangle 06B3C2

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1. **State the problem:** We have a right triangle with angles 30°, 60°, and 90°. The hypotenuse (opposite the right angle) is 2 meters, and we need to find the length of side $s$, which is opposite the 30° angle. 2. **Recall the special right triangle rules:** In a 30°-60°-90° triangle, the sides are in the ratio: $$1 : \sqrt{3} : 2$$ where 1 corresponds to the side opposite 30°, $\sqrt{3}$ to the side opposite 60°, and 2 to the hypotenuse. 3. **Identify the sides:** Given the hypotenuse is 2 meters, the side opposite 30° (which is $s$) is half the hypotenuse: $$s = \frac{2}{2} = 1$$ 4. **Final answer:** The length $s$ is $$s = 1 \text{ meter}$$ This is already in simplest radical form since 1 is a rational number.
60\u00b030\u00b090\u00b02 ms