Pythagorean Theorem Review

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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: c² = a² + b².
2.
FLASHCARD QUESTION
Front
In a right triangle, which side is the longest?
Back
The hypotenuse (side c) is always the longest side in a right triangle.
3.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem only applies to right triangles.
4.
FLASHCARD QUESTION
Front
If one side of a right triangle is 6 and the other side is 8, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 6² + 8²; c² = 36 + 64; c² = 100; c = 10.
5.
FLASHCARD QUESTION
Front
What is the formula to find the length of a missing side in a right triangle?
Back
The formula is c² = a² + b², where c is the hypotenuse and a and b are the other two sides.
6.
FLASHCARD QUESTION
Front
If the hypotenuse of a right triangle is 13 and one side is 5, what is the length of the other side?
Back
Using the Pythagorean Theorem: 13² = 5² + b²; 169 = 25 + b²; b² = 144; b = 12.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).
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