Identifying and Generating Pythagorean Triples

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| Attempts: 47 | Questions: 10 | Updated: Jan 20, 2026
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1) Which set satisfies a² + b² = c²?

Explanation

12² + 35² = 144 + 1225 = 1369 = 37².

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About This Quiz
Identifying and Generating Pythagorean Triples - Quiz

Are you ready to spot the famous right-triangle triples? In this quiz, you’ll practice identifying Pythagorean triples, learn how to generate them using formulas, and tell apart primitive triples from multiples. Take this quiz to unlock the patterns behind right triangles and their special integer sides.

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2) If a triangle has legs 20 and 21, what is the hypotenuse?

Explanation

√(20²+21²)=√(841)=29.

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3) Which of the following is a Pythagorean triple?

Explanation

3² + 4² = 9 + 16 = 25 = 5², so (3,4,5) satisfies the theorem.

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4) Which set is not a Pythagorean triple?

Explanation

4² + 5² = 41 ≠ 81 (9²); not valid.

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5) Which primitive Pythagorean triple has the smallest hypotenuse?

Explanation

The hypotenuse 5 is smallest and cannot be simplified further.

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6) Which of these is a multiple of (5, 12, 13)?

Explanation

Each set is a scalar multiple of (5,12,13).

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7) If (9, 12, 15) is a triple, it is:

Explanation

Dividing by 3 gives (3,4,5).

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8) Which formula generates all primitive Pythagorean triples?

Explanation

This is the Euclidean formula for generating primitive triples.

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9) Which of these triples is primitive?

Explanation

No common factor greater than 1.

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10) The triple (7, 24, 25) comes from which pattern?

Explanation

For a=4, b=3 → (16–9, 24, 25) = (7,24,25).

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Which set satisfies a² + b² = c²?
If a triangle has legs 20 and 21, what is the hypotenuse?
Which of the following is a Pythagorean triple?
Which set is not a Pythagorean triple?
Which primitive Pythagorean triple has the smallest hypotenuse?
Which of these is a multiple of (5, 12, 13)?
If (9, 12, 15) is a triple, it is:
Which formula generates all primitive Pythagorean triples?
Which of these triples is primitive?
The triple (7, 24, 25) comes from which pattern?
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