Pythagorean Triples

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a Pythagorean Triple?
Back
A set of three positive integers a, b, and c, such that a² + b² = c². For example, (3, 4, 5) is a Pythagorean Triple.
2.
FLASHCARD QUESTION
Front
What is the formula to find the hypotenuse in a right triangle?
Back
The hypotenuse can be found using the formula c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.
3.
FLASHCARD QUESTION
Front
If one side of a right triangle is 6 and the other is 8, what is the hypotenuse?
Back
10
4.
FLASHCARD QUESTION
Front
What are the first three Pythagorean Triples?
Back
(3, 4, 5), (5, 12, 13), (8, 15, 17).
5.
FLASHCARD QUESTION
Front
How can you determine if a set of numbers is a Pythagorean Triple?
Back
Check if a² + b² = c² holds true for the numbers.
6.
FLASHCARD QUESTION
Front
Is the set of numbers 15, 20, 25 a Pythagorean Triple?
Back
Yes, because 15² + 20² = 25² (225 + 400 = 625).
7.
FLASHCARD QUESTION
Front
What is the value of x if the sides of a right triangle are 6, 8, and x?
Back
10
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