What is the Pythagorean Theorem?
Pythagorean Theorem Review

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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: a² + b² = c².
2.
FLASHCARD QUESTION
Front
How do you find the distance between two points (A and B) on a coordinate plane?
Back
To find the distance between two points A(x1, y1) and B(x2, y2), use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).
3.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
4.
FLASHCARD QUESTION
Front
What is the hypotenuse of a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
5.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 units and the other side is 4 units, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5 units.
6.
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 (legs) equals the square of the longest side (hypotenuse).
7.
FLASHCARD QUESTION
Front
How can you determine if three lengths can form a right triangle?
Back
To determine if three lengths a, b, and c can form a right triangle, check if a² + b² = c², where c is the longest side.
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