Pythagorean Theorem

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•
Mathematics
•
8th 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 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 one side of a square is 5 cm, what is its area?
Back
Area = 5 cm × 5 cm = 25 cm².
4.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the lengths of the sides are related by the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse.
5.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a right triangle?
Back
To find the length of the hypotenuse (c), use the formula: c = √(a² + b²), where a and b are the lengths of the other two sides.
6.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 6 cm?
Back
Area = 6 cm × 6 cm = 36 cm².
7.
FLASHCARD QUESTION
Front
If the area of a square is 144 in², what is the length of one side?
Back
Length of one side = √144 in² = 12 in.
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