What is the Pythagorean Theorem?
Pythagorean Theorem

Flashcard
•
Mathematics
•
8th - 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 is expressed as: a² + b² = c².
2.
FLASHCARD QUESTION
Front
Which type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem ONLY works on right triangles.
3.
FLASHCARD QUESTION
Front
If a right triangle has side lengths of 6, 8, and 10, which side is the hypotenuse?
Back
The hypotenuse is 10.
4.
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), where c is the hypotenuse and a and b are the other two sides.
5.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 cm and the other side is 4 cm, what is the length of the hypotenuse?
Back
The hypotenuse is 5 cm, calculated as √(3² + 4²) = √(9 + 16) = √25 = 5.
6.
FLASHCARD QUESTION
Front
True or False: The Pythagorean Theorem can be used for any triangle.
Back
False. The Pythagorean Theorem can only be used for right triangles.
7.
FLASHCARD QUESTION
Front
In a right triangle, if the lengths of the two legs are 5 cm and 12 cm, what is the length of the hypotenuse?
Back
The hypotenuse is 13 cm, calculated as √(5² + 12²) = √(25 + 144) = √169 = 13.
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