
Pythagorean Triples
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Mathematics
9th - 12th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the value of c in the Pythagorean theorem if a = 12 and b = 5?
c = 10
c = 12
c = 13
c = 15
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a Pythagorean Triple?
A set of three positive integers a, b, and c that satisfy the equation a² + b² = c².
A group of three angles that sum up to 180 degrees.
A collection of three sides of a triangle that are all equal in length.
A set of three numbers that can form a geometric sequence.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Can Pythagorean Triples include non-integer values?
Yes, they can include non-integer values.
No, Pythagorean Triples consist of only positive integers.
Yes, they can include negative integers.
Pythagorean Triples can include both integers and fractions.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the relationship between the sides of a right triangle?
The sum of the lengths of the two shorter sides is equal to the length of the hypotenuse.
The square of the hypotenuse is equal to the sum of the squares of the other two sides.
The product of the lengths of the two shorter sides is equal to the length of the hypotenuse.
The length of the hypotenuse is always greater than the length of either of the other two sides.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the smallest Pythagorean Triple?
2, 3, 4
3, 4, 5
5, 12, 13
6, 8, 10
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the formula for the Pythagorean theorem?
a² + b² = c², where c is the hypotenuse.
a² - b² = c²
c² = a + b
c = √(a² + b²)
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If a = 8 and b = 15, what is c?
c = 12
c = 15
c = 17
c = 20
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