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Flashcards on Pythagorean Theorem
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What is the Pythagorean Theorem?
A^2 + B^2 = C^2
Who discovered the Pythagorean Theorem?
Pythagoras
What are the side lengths called in the Pythagorean Theorem?
A, B, C
In a right triangle, which side is the hypotenuse?
The side opposite the right angle
What is the formula to find the length of the hypotenuse?
C = √(A^2 + B^2)
What is the Pythagorean Triple for 3, 4, 5?
3, 4, 5
What type of triangles does the Pythagorean Theorem apply to?
Right triangles
How is the Pythagorean Theorem commonly represented?
A^2 + B^2 = C^2
What is the longest side of a right triangle called?
Hypotenuse
What is the square of the hypotenuse equal to?
Sum of the squares of the other two sides
What are the two shorter sides of a right triangle called?
Legs
How can the Pythagorean Theorem be used to solve problems?
By finding the missing side length of a right triangle
What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?
A^2 + B^2 = C^2
What Greek mathematician is credited with the Pythagorean Theorem?
Pythagoras
What letter is commonly used to represent the hypotenuse in the Pythagorean Theorem formula?
C
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Test Your Knowledge
What is the formula of the Pythagorean Theorem?
A x B = C
A + B = C
A^2 + B^2 = C^2
A / B = C
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Who is the Greek mathematician associated with the Pythagorean Theorem?
Euclid
Archimedes
Pythagoras
Hippocrates
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Which side of the right triangle is known as the hypotenuse?
Leg A
Leg B
Hypotenuse
Adjacent Side
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What does the Pythagorean Theorem state about the sides of a right triangle?
Sum of sides is equal to 180 degrees
All sides are equal
Square of hypotenuse = sum of squares of other two sides
All angles are acute angles
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What is the formula to find the length of the hypotenuse in a right triangle?
A^2 + B^2 = C
C = √(A^2 + B^2)
H = A + B
C = A / B
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Which term is used to refer to the two shorter sides of a right triangle?
Adjacent sides
Legs
Hypotenuse
Inscribed side
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What is the Pythagorean Triple for the right triangle with side lengths 5, 12, 13?
3, 4, 5
6, 8, 10
7, 24, 25
5, 12, 13
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For a right triangle, what is the sum of the squares of the two legs equal to?
Difference of the hypotenuse square
The square of altitude
Square of the hypotenuse
Half of the sum of squares of other sides
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Which type of triangles does the Pythagorean Theorem apply to?
Right triangles
Equilateral triangles
Isosceles triangles
Scalene triangles
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In the Pythagorean Theorem formula, what does the variable C represent?
Difference of the other two sides
Hypotenuse
Multiplier of the sum of squares
Ratio of the sides
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