What is the Pythagorean Theorem?
Pythagorean Theorem

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Mathematics
•
8th 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 can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, located opposite the right angle.
3.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 and the other side is 4, what is the length of the hypotenuse?
Back
5 (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).
4.
FLASHCARD QUESTION
Front
What is the square root of 16?
Back
4 (The square root of a number is a value that, when multiplied by itself, gives the original number).
5.
FLASHCARD QUESTION
Front
In a right triangle, if the hypotenuse is 10 and one side is 6, what is the length of the other side?
Back
8 (Using the Pythagorean Theorem: 10² = 6² + b²; 100 = 36 + b²; b² = 64; b = 8).
6.
FLASHCARD QUESTION
Front
What is the formula to find the area of a right triangle?
Back
Area = 1/2 * base * height.
7.
FLASHCARD QUESTION
Front
If a right triangle has sides of length 5 and 12, what is the length of the hypotenuse?
Back
13 (Using the Pythagorean Theorem: 5² + 12² = 25 + 144 = 169; √169 = 13).
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