Pythagorean Theorem
Flashcard
•
Mathematics
•
9th - 12th 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: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem ONLY works for right triangles.
3.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 cm and the other side is 4 cm, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 cm.
4.
FLASHCARD QUESTION
Front
What is the length of the missing side if the hypotenuse is 10 cm and one side is 6 cm?
Back
Using the Pythagorean Theorem: 6² + b² = 10²; 36 + b² = 100; b² = 64; b = 8 cm.
5.
FLASHCARD QUESTION
Front
How do you find the length of a side in a right triangle?
Back
To find the length of a side in a right triangle, use the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse.
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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