What is the Pythagorean Theorem?
Unit 3 Ch.9 Test 8H: Pythagorean, Exp and Roots

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Mathematics
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6th - 8th Grade
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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: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What is a square root?
Back
A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 36 is 6, because 6 x 6 = 36.
3.
FLASHCARD QUESTION
Front
Estimate the square root of 80.
Back
Approximately 9, since 9 x 9 = 81, which is close to 80.
4.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 5 cm?
Back
The area of a square is calculated by squaring the length of one side. Area = side² = 5 cm x 5 cm = 25 cm².
5.
FLASHCARD QUESTION
Front
What is 12²?
Back
12² = 144.
6.
FLASHCARD QUESTION
Front
Solve: √49
Back
7.
7.
FLASHCARD QUESTION
Front
If the area of a square is 64 cm², what is the length of one side?
Back
The length of one side is 8 cm, since √64 = 8.
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