What is the Pythagorean Theorem?
Pythagorean Theorem Review Questions

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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
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
3.
FLASHCARD QUESTION
Front
What is the hypotenuse of a right triangle?
Back
The hypotenuse is the side opposite the right angle in a right triangle and is the longest side.
4.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 units.
5.
FLASHCARD QUESTION
Front
What is the distance formula derived from the Pythagorean Theorem?
Back
The distance between two points (x₁, y₁) and (x₂, y₂) in a coordinate plane is given by: d = √((x₂ - x₁)² + (y₂ - y₁)²).
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.
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