How do I find the hypotenuse of a right triangle with legs 3 and 4?

How to find the hypotenuse of a right triangle with legs 3 and 4 using the Pythagorean theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5.

Step-by-step explanation

1. We start with a right-angled triangle. The two shorter sides, called legs, have lengths of 3 and 4 units.
2. The Pythagorean Theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
3. Substitute the known lengths into the formula: 3 squared plus 4 squared equals c squared.
4. Calculate the squares: 3 squared is 9, and 4 squared is 16. Adding them together gives 25.
5. Finally, take the square root of 25 to find the length of the hypotenuse, which is 5.

This is a real answer from Math Motion AI: the explanation and the animation were made by the site for this question.

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