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 hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
3.
FLASHCARD QUESTION
Front
If a right triangle has legs of lengths 3 cm and 4 cm, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 cm.
4.
FLASHCARD QUESTION
Front
What is the square root of 25?
Back
The square root of 25 is 5.
5.
FLASHCARD QUESTION
Front
In the Pythagorean Theorem, what do the letters a, b, and c represent?
Back
In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the legs of the triangle, while 'c' represents the length of the hypotenuse.
6.
FLASHCARD QUESTION
Front
What is the perimeter of a right triangle with legs of 3 cm and 4 cm?
Back
The perimeter is the sum of all sides: 3 + 4 + 5 = 12 cm.
7.
FLASHCARD QUESTION
Front
What is the area of a right triangle with legs of 3 cm and 4 cm?
Back
The area is calculated as: (1/2) * base * height = (1/2) * 3 * 4 = 6 cm².
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