What is the Pythagorean Theorem?
Pythagorean Theorem

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•
Mathematics
•
6th - 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). Formula: 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 in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
4.
FLASHCARD QUESTION
Front
If a = 3 and b = 4, what is c?
Back
c = 5 (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).
5.
FLASHCARD QUESTION
Front
What is the formula for finding the hypotenuse?
Back
The formula is a² + b² = c².
6.
FLASHCARD QUESTION
Front
If a = 5 and b = 12, what is the length of the hypotenuse?
Back
c = 13 (5² + 12² = 25 + 144 = 169, so c = √169 = 13).
7.
FLASHCARD QUESTION
Front
How do you determine if a triangle is a right triangle using side lengths?
Back
Use the Pythagorean Theorem: if a² + b² = c² holds true, then the triangle is a right triangle.
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