Pythagorean Theorem

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•
Mathematics
•
10th 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: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What is the formula to find the hypotenuse in a right triangle?
Back
To find the hypotenuse (c) in a right triangle, use the formula: c = √(a² + b²).
3.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?
Back
The hypotenuse is 5 cm, calculated using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.
4.
FLASHCARD QUESTION
Front
What is the longest side of a right triangle called?
Back
The longest side of a right triangle is called the hypotenuse.
5.
FLASHCARD QUESTION
Front
How do you cancel out the square when solving using the Pythagorean Theorem?
Back
You cancel out the square by taking the square root of both sides.
6.
FLASHCARD QUESTION
Front
If the hypotenuse is 10 cm and one leg is 6 cm, how do you find the other leg?
Back
Use the formula: b = √(c² - a²). Here, b = √(10² - 6²) = √(100 - 36) = √64 = 8 cm.
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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