Pythagorean Theorem

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•
Mathematics
•
10th 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 is expressed as: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What are the legs of a right triangle?
Back
The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.
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. It is denoted as 'c' in the Pythagorean Theorem.
4.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3 cm and the other leg is 4 cm, what is the length of the hypotenuse?
Back
5 cm (Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5).
5.
FLASHCARD QUESTION
Front
If the hypotenuse of a right triangle is 10 cm and one leg is 6 cm, what is the length of the other leg?
Back
8 cm (Using the Pythagorean Theorem: 6² + b² = 10²; 36 + b² = 100; b² = 64; b = 8).
6.
FLASHCARD QUESTION
Front
True or False: The Pythagorean Theorem can only be used for right triangles.
Back
True.
7.
FLASHCARD QUESTION
Front
What is the formula for the Pythagorean Theorem?
Back
a² + b² = c².
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