
Pythagorean Theorem - Is It A Right Triangle
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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 is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
3.
FLASHCARD QUESTION
Front
How can you determine if a triangle is a right triangle using side lengths?
Back
To determine if a triangle is a right triangle using its side lengths, apply the Pythagorean Theorem: check if a² + b² = c², where c is the longest side.
4.
FLASHCARD QUESTION
Front
If the side lengths are 3, 4, and 5, do they form a right triangle?
Back
Yes, because 3² + 4² = 9 + 16 = 25, which equals 5².
5.
FLASHCARD QUESTION
Front
If the side lengths are 6, 8, and 10, do they form a right triangle?
Back
Yes, because 6² + 8² = 36 + 64 = 100, which equals 10².
6.
FLASHCARD QUESTION
Front
If the side lengths are 5, 12, and 13, do they form a right triangle?
Back
Yes, because 5² + 12² = 25 + 144 = 169, which equals 13².
7.
FLASHCARD QUESTION
Front
If the side lengths are 7, 24, and 25, do they form a right triangle?
Back
Yes, because 7² + 24² = 49 + 576 = 625, which equals 25².
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