Subjects geometry

Tube Length

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Tube Length


1. **State the problem:** We have a right triangle formed by the wall, the floor, and the tube. The wall is vertical with length 2.7 m, the floor is horizontal with length 3.6 m, and the tube is the hypotenuse. 2. **Identify the sides:** The tube is the hypotenuse of the right triangle, the wall is one leg (2.7 m), and the floor is the other leg (3.6 m). 3. **Recall the Pythagorean theorem:** For a right triangle with legs $a$ and $b$ and hypotenuse $c$, the relationship is $$c = \sqrt{a^2 + b^2}$$ 4. **Apply the theorem:** Here, $a = 2.7$ and $b = 3.6$, so the length of the tube (hypotenuse) is $$\sqrt{2.7^2 + 3.6^2}$$ 5. **Match with the options:** This corresponds to option A: $$\sqrt{3.6^2 + 2.7^2}$$ **Final answer:** The correct calculation to find the length of the tube is option A.