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Pythagorean theorem Quiz for Grade 10
10 math questions on pythagorean theorem with answers, written for Grade 10. Use it as it is, change any question, print it with an answer key, or give it online and let it grade itself.
1.
In a right triangle, if one leg measures 6 units and the other leg measures 8 units, what is the length of the hypotenuse? (Multiple choice)
- 14 units
- 8 units
- 10 units
- 12 units
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10 units
By the Pythagorean theorem, hypotenuse = √(6² + 8²) = √(36 + 64) = √100 = 10.2.
Which of the following triangles is a right triangle based on side lengths? (Multiple choice)
- 5, 12, 13
- 7, 10, 12
- 9, 14, 20
- 8, 15, 16
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5, 12, 13
5² + 12² = 25 + 144 = 169, which equals 13², so it satisfies the Pythagorean theorem.3.
The Pythagorean theorem applies only to right-angled triangles. (True or false)
- True
- False
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True
The theorem relates the sides of right-angled triangles only.4.
The Pythagorean theorem formula is a² + b² = _____². (Fill in the blank)
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c
In the formula, c represents the hypotenuse.5.
Name the side opposite the right angle in a right triangle. (Identification)
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hypotenuse
The hypotenuse is the longest side opposite the right angle.6.
If the hypotenuse of a right triangle is 13 units and one leg is 5 units, what is the length of the other leg? (Multiple choice)
- 12 units
- 9 units
- 10 units
- 8 units
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12 units
Using the theorem: other leg = √(13² - 5²) = √(169 - 25) = √144 = 12.7.
Which of these sets of numbers cannot be the sides of a right triangle? (Multiple choice)
- 7, 24, 25
- 3, 4, 5
- 6, 8, 10
- 5, 9, 12
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5, 9, 12
5² + 9² = 25 + 81 = 106, which is not equal to 12² (144).8.
If a triangle has sides 9, 40, and 41, it is a right triangle. (True or false)
- True
- False
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True
9² + 40² = 81 + 1600 = 1681, which equals 41².9.
Match each term with its correct description. (Matching type)
1. Hypotenuse
A. a² + b² = c² formula relating sides of right triangle
2. Leg
B. Side opposite the right angle
3. Right angle
C. One of the two sides forming the right angle
4. Pythagorean theorem
D. Angle measuring 90 degrees
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1 = Side opposite the right angle; 2 = One of the two sides forming the right angle; 3 = Angle measuring 90 degrees; 4 = a² + b² = c² formula relating sides of right triangle
Each term is matched with its correct definition.10.
List three Pythagorean triples. (Enumeration)
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3, 4, 5, 5, 12, 13, 7, 24, 25
These sets satisfy the Pythagorean theorem and form right triangles.