Pythagorean Theorem

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•
Mathematics
•
8th 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 on 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 longest side of a right triangle called?
Back
The longest side of a right triangle is called the hypotenuse.
5.
FLASHCARD QUESTION
Front
In a right triangle, if the lengths of the legs are 5 cm and 12 cm, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: 5² + 12² = c²; 25 + 144 = c²; 169 = c²; c = 13 cm.
6.
FLASHCARD QUESTION
Front
Which set of sides can form a right triangle? 6, 8, 10 or 5, 10, 12 or 7, 24, 25?
Back
The set 6, 8, 10 can form a right triangle because 6² + 8² = 10² (36 + 64 = 100).
7.
FLASHCARD QUESTION
Front
What is the formula to find the length of the diagonal of a rectangle?
Back
The length of the diagonal (d) can be found using the Pythagorean Theorem: d = √(length² + width²).
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