Identifying and Generating Pythagorean Triples

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1) 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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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) Which set is not a Pythagorean triple?

Explanation

4² + 5² = 41 ≠ 81 (9²); not valid.

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3) 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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4) Which primitive Pythagorean triple has the smallest hypotenuse?

Explanation

The hypotenuse 5 is smallest and cannot be simplified further.

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5) Which formula generates all primitive Pythagorean triples?

Explanation

This is the Euclidean formula for generating primitive triples.

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

Explanation

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

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7) Which set satisfies a² + b² = c²?

Explanation

12² + 35² = 144 + 1225 = 1369 = 37².

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

Explanation

√(20²+21²)=√(841)=29.

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9) 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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10) Which of these triples is primitive?

Explanation

No common factor greater than 1.

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Which of the following is a Pythagorean triple?
Which set is not a Pythagorean triple?
The triple (7, 24, 25) comes from which pattern?
Which primitive Pythagorean triple has the smallest hypotenuse?
Which formula generates all primitive Pythagorean triples?
If (9, 12, 15) is a triple, it is:
Which set satisfies a² + b² = c²?
If a triangle has legs 20 and 21, what is the hypotenuse?
Which of these is a multiple of (5, 12, 13)?
Which of these triples is primitive?
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