What is the Pythagorean Theorem?
Pythagorean Theorem Models

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•
Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What is the formula to find the area of a square?
Back
The area of a square is calculated using the formula: Area = side², where 'side' is the length of one side of the square.
3.
FLASHCARD QUESTION
Front
If the area of a square is 144 in², what is the length of one side?
Back
The length of one side is 12 inches, since side = √(Area) = √(144) = 12.
4.
FLASHCARD QUESTION
Front
What is the relationship between the areas of squares in a Pythagorean Theorem problem?
Back
In a Pythagorean Theorem problem, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
5.
FLASHCARD QUESTION
Front
If the area of square A is 25 in² and the area of square B is 169 in², what is the area of square C?
Back
The area of square C is 144 in², since 25 + 169 = 144.
6.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse if the lengths of the other two sides are 5 ft and 12 ft?
Back
The length of the hypotenuse is 13 ft, calculated using the Pythagorean Theorem: c = √(5² + 12²) = √(25 + 144) = √169 = 13.
7.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 6.7 cm?
Back
The area is 44.89 cm², calculated as Area = side² = 6.7² = 44.89.
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