Pythagorean Theorem

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•
Mathematics
•
7th 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 is expressed as: a² + b² = c².
2.
FLASHCARD QUESTION
Front
Is the statement 'a² + b³ = c⁴' true or false?
Back
False. The correct formula is a² + b² = c².
3.
FLASHCARD QUESTION
Front
What is the formula to find the length of the hypotenuse in a right triangle?
Back
The formula is c = √(a² + b²).
4.
FLASHCARD QUESTION
Front
If one side of a right triangle is 6 and the other side is 8, what is the length of the hypotenuse?
Back
c = √(6² + 8²) = √(36 + 64) = √100 = 10.
5.
FLASHCARD QUESTION
Front
In a right triangle, which side is always the longest?
Back
The hypotenuse (side c) is always the longest side.
6.
FLASHCARD QUESTION
Front
If a = 3 and b = 4, what is c?
Back
c = √(3² + 4²) = √(9 + 16) = √25 = 5.
7.
FLASHCARD QUESTION
Front
What does it mean if a triangle does not satisfy the Pythagorean Theorem?
Back
If a² + b² < c², the triangle is obtuse. If a² + b² > c², the triangle is acute.
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