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Pythagorean theorem
Contributed by: Austin
  • 1. In a right triangle, which side is the hypotenuse?
A) The shorter side
B) The longer side
C) The adjacent side
D) The side opposite the right angle
  • 2. What is the Pythagorean triple for a right triangle with sides 6, 8, and 10?
A) 5, 12, 13
B) 3, 4, 5
C) 8, 15, 17
D) 6, 8, 10
  • 3. If the two shorter sides of a right triangle are 5 and 12 units long, what is the length of the hypotenuse?
A) 13 units
B) 15 units
C) 17 units
D) 20 units
  • 4. What is the Pythagorean triple for a right triangle with sides 9, 12, and 15?
A) 9, 12, 15
B) 7, 24, 25
C) 4, 5, 6
D) 3, 4, 5
  • 5. In a right triangle, if one shorter side is 7 units and the hypotenuse is 25 units, what is the length of the other shorter side?
A) 20 units
B) 24 units
C) 18 units
D) 22 units
  • 6. Which ancient Greek mathematician is credited with discovering the Pythagorean theorem?
A) Eratosthenes
B) Archimedes
C) Pythagoras
D) Euclid
  • 7. What is the Pythagorean triple for a right triangle with sides 7, 24, and 25?
A) 9, 12, 15
B) 3, 4, 5
C) 5, 12, 13
D) 7, 24, 25
  • 8. In a right triangle, if one shorter side is 15 units and the hypotenuse is 17 units, what is the length of the other shorter side?
A) 6 units
B) 10 units
C) 8 units
D) 12 units
  • 9. What is the Pythagorean triple for a right triangle with sides 5, 12, and 13?
A) 5, 12, 13
B) 3, 4, 5
C) 6, 8, 10
D) 8, 15, 17
  • 10. If the two shorter sides of a right triangle are 8 and 15 units long, what is the length of the hypotenuse?
A) 20 units
B) 25 units
C) 24 units
D) 17 units
  • 11. What is the Pythagorean triple for a right triangle with sides 8, 15, and 17?
A) 6, 8, 10
B) 8, 15, 17
C) 7, 24, 25
D) 5, 12, 13
  • 12. If one of the shorter sides in a right triangle is 20 units and the hypotenuse is 29 units, what is the length of the other shorter side?
A) 28 units
B) 24 units
C) 21 units
D) 26 units
  • 13. What is the Pythagorean triple for a right triangle with sides 10, 24, and 26?
A) 7, 24, 25
B) 15, 20, 25
C) 6, 8, 10
D) 10, 24, 26
  • 14. What is the Pythagorean triple for a right triangle with sides 11, 60, and 61?
A) 9, 12, 15
B) 3, 4, 5
C) 5, 12, 13
D) 11, 60, 61
  • 15. Which type of triangle does the Pythagorean theorem apply to?
A) Right triangles
B) Scalene triangles
C) Isosceles triangles
D) Equilateral triangles
  • 16. What is the Pythagorean triple for a right triangle with sides 12, 35, and 37?
A) 6, 8, 10
B) 12, 35, 37
C) 5, 12, 13
D) 8, 15, 17
  • 17. If the two shorter sides of a right triangle are 13 and 84 units long, what is the length of the hypotenuse?
A) 87 units
B) 91 units
C) 89 units
D) 85 units
  • 18. What is the Pythagorean triple for a right triangle with sides 13, 84, and 85?
A) 5, 12, 13
B) 13, 84, 85
C) 7, 24, 25
D) 3, 4, 5
  • 19. What is the Pythagorean triple for a right triangle with sides 15, 112, and 113?
A) 7, 24, 25
B) 5, 12, 13
C) 8, 15, 17
D) 15, 112, 113
  • 20. What is the angle between the hypotenuse and the base of a right triangle?
A) 120 degrees
B) 45 degrees
C) 90 degrees
D) 60 degrees
  • 21. What is the longest side of a right triangle called?
A) Base
B) Adjacent side
C) Hypotenuse
D) Opposite side
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