Pythagorean Theorem

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•
Mathematics
•
7th - 8th Grade
•
Hard
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15 questions
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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 hypotenuse in a right triangle?
Back
The formula to find the hypotenuse (c) is: c = √(a² + b²).
3.
FLASHCARD QUESTION
Front
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
4.
FLASHCARD QUESTION
Front
Does the set of numbers 20, 25, 15 represent a right triangle?
Back
Yes, because 20² + 15² = 400 + 225 = 625 = 25².
5.
FLASHCARD QUESTION
Front
Is the statement 'The Pythagorean Theorem is a² + b³ = c⁴' true or false?
Back
False. The correct formula is a² + b² = c².
6.
FLASHCARD QUESTION
Front
What does it mean when we say 'all of the a square plus all of the b square will perfectly fill the c square'?
Back
It means that the area of the squares constructed on the two shorter sides (a and b) equals the area of the square constructed on the hypotenuse (c). This is a visual representation of the Pythagorean Theorem.
7.
FLASHCARD QUESTION
Front
Find the length of the missing side if one side is 5 cm and the hypotenuse is 13 cm.
Back
The missing side is 12 cm, calculated using the formula: 13² - 5² = 169 - 25 = 144, so √144 = 12.
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