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
In a right triangle, if one leg 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.
3.
FLASHCARD QUESTION
Front
If the hypotenuse of a right triangle is 13 units and one leg is 5 units, how do you find the length of the other leg?
Back
Use the Pythagorean Theorem: a² + 5² = 13²; a² + 25 = 169; a² = 144; a = 12 units.
4.
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. The shortest side is opposite the 30° angle, the longer leg is opposite the 60° angle, and the hypotenuse is twice the shortest side.
5.
FLASHCARD QUESTION
Front
How do you calculate the distance between two points on a coordinate grid?
Back
Use the distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
6.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 12 units?
Back
Area = side² = 12² = 144 square units.
7.
FLASHCARD QUESTION
Front
If the area of square A is 100 ft², what is the length of one side?
Back
Length of one side = √Area = √100 = 10 ft.
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