Pythagorean Theorem Homework Assignment

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•
Mathematics
•
7th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It can be expressed as: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What is a Pythagorean Triple?
Back
A Pythagorean Triple consists of three positive integers a, b, and c, such that a² + b² = c². Examples include (3, 4, 5) and (5, 12, 13).
3.
FLASHCARD QUESTION
Front
Does the set of numbers 15, 20, 25 represent a Pythagorean Triple?
Back
Yes, because 15² + 20² = 225 + 400 = 625 = 25².
4.
FLASHCARD QUESTION
Front
Find the length of the missing side if one side is 20 cm and the hypotenuse is 25 cm.
Back
The missing side is 15 cm, calculated using the Pythagorean Theorem: 20² + b² = 25², so b = 15.
5.
FLASHCARD QUESTION
Front
Find the length of the missing side if one side is 13 cm and the hypotenuse is 15 cm.
Back
The missing side is 8 cm, calculated using the Pythagorean Theorem: 13² + b² = 15², so b = 8.
6.
FLASHCARD QUESTION
Front
Does the set of numbers 4, 5, 6 represent a Pythagorean Triple?
Back
No, because 4² + 5² = 16 + 25 = 41, which is not equal to 6².
7.
FLASHCARD QUESTION
Front
Find the length of the missing side if one side is 48 in. and the hypotenuse is 52 in.
Back
The missing side is 20 in., calculated using the Pythagorean Theorem: 48² + b² = 52², so b = 20.
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