Pythagorean Theorem

Flashcard
•
Mathematics
•
7th - 12th 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 longest side of a right triangle called?
Back
The longest side of a right triangle is called the hypotenuse.
3.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5.
4.
FLASHCARD QUESTION
Front
True or False: To find a leg of a right triangle, you add a² + b², then square root.
Back
False. To find a leg, you subtract the square of the known leg from the square of the hypotenuse: a² = c² - b².
5.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
6.
FLASHCARD QUESTION
Front
If the hypotenuse is 10 and one leg is 6, what is the length of the other leg?
Back
Using the Pythagorean Theorem: c² = a² + b²; 10² = 6² + b²; 100 = 36 + b²; b² = 64; b = 8.
7.
FLASHCARD QUESTION
Front
What does 'leg' refer to in a right triangle?
Back
A leg refers to either of the two sides that form the right angle in a right triangle.
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