Question 1

What does the Pythagorean theorem state?

Accepted Answer

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs: c² = a² + b², or equivalently a² + b² = c².

Question 2

What are the most well-known Pythagorean triples?

Accepted Answer

Common Pythagorean triples (integer sides): 3-4-5, 5-12-13, 6-8-10, 8-15-17, 7-24-25. Check: 3²+4²=9+16=25=5².

Question 3

How do you find a leg using the Pythagorean theorem?

Accepted Answer

a = √(c²−b²). For example, hypotenuse 13, one leg 5: other leg = √(169−25) = √144 = 12.

Pythagorean Theorem

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