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Real math questions answered by Claude 3.5, organized as a focused landing page for people searching by model and topic.
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The Pythagorean theorem states that in a right triangle: **a² + b² = c²**, where c is the hypotenuse (the side opposite the right angle). **Proof intuition:** if you draw squares on each side of a right triangle, the area of the square on the hypotenuse equals the sum of the areas of the other two squares. **Real-world example:** You need to mount a TV antenna on your roof. The roof is 4 meters high and you need to run a cable horizontally 3 meters from the wall to the pole. How long is the cable? c² = 4² + 3² = 16 + 9 = 25 c = √25 = **5 meters** Other uses: GPS coordinates, computer graphics (distance between two points), construction (checking if corners are square using the 3-4-5 rule).
Read answerThe Pythagorean theorem states that in a right triangle: **a² + b² = c²**, where c is the hypotenuse (the side opposite the right angle). **Proof intuition:** if you draw squares ...