Pythagorean Theorem

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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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 is expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What does side c represent in a right triangle?
Back
Side c represents the hypotenuse, which is the longest side of a right triangle, opposite the right angle.
3.
FLASHCARD QUESTION
Front
Is side a always the longest side in a right triangle?
Back
No, side a is not always the longest side; the hypotenuse (side c) is always the longest side.
4.
FLASHCARD QUESTION
Front
If a = 3 cm and b = 4 cm, what is the length of c?
Back
Using the Pythagorean Theorem: c² = a² + b²; c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5 cm.
5.
FLASHCARD QUESTION
Front
What is the formula to find the length of side b if a and c are known?
Back
The formula is b = √(c² - a²).
6.
FLASHCARD QUESTION
Front
Can the Pythagorean Theorem be used for non-right triangles?
Back
No, the Pythagorean Theorem only applies to right triangles.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the sum of the squares of the two shorter sides (a and b) equals the square of the longest side (c): a² + b² = c².
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