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 length of the hypotenuse in a right triangle?
Back
The formula to find the length of the hypotenuse (c) is: c = √(a² + b²), where a and b are the lengths of the other two sides.
3.
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 length of the hypotenuse is 5 cm, calculated as: c = √(3² + 4²) = √(9 + 16) = √25 = 5.
4.
FLASHCARD QUESTION
Front
What is the opposite of squaring a number?
Back
The opposite of squaring a number is taking the square root.
5.
FLASHCARD QUESTION
Front
In a right triangle, if the hypotenuse is 10 cm and one side is 6 cm, how do you find the length of the other side?
Back
Use the Pythagorean Theorem: a² + b² = c². Here, b = √(c² - a²) = √(10² - 6²) = √(100 - 36) = √64 = 8 cm.
6.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
7.
FLASHCARD QUESTION
Front
What are the legs of a right triangle?
Back
The legs of a right triangle are the two sides that form the right angle.
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