What is the Pythagorean Theorem?
Pythagorean Theorem converse

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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). Formula: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem applies only to right triangles.
3.
FLASHCARD QUESTION
Front
What is the longest side of a right triangle called?
Back
The longest side of a right triangle is called the hypotenuse.
4.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3, 4, and 5, is it a right triangle?
Back
Yes, because 3² + 4² = 5² (9 + 16 = 25).
5.
FLASHCARD QUESTION
Front
What is the converse of the Pythagorean Theorem?
Back
If a triangle has sides of lengths a, b, and c, and a² + b² = c², then the triangle is a right triangle.
6.
FLASHCARD QUESTION
Front
Can the Pythagorean Theorem be used for obtuse triangles?
Back
No, the Pythagorean Theorem only applies to right triangles.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).
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