Pythagorean Theorem

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•
Mathematics
•
7th - 8th Grade
•
Hard
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15 questions
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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: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What is the formula to find the length of the hypotenuse?
Back
To find the length of the hypotenuse (c) in a right triangle, use the formula: c = √(a² + b²).
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: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm.
4.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
5.
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.
6.
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.
7.
FLASHCARD QUESTION
Front
If the hypotenuse is 10 cm and one leg is 6 cm, how do you find the other leg?
Back
Use the formula: b = √(c² - a²). Here, b = √(10² - 6²) = √(100 - 36) = √64 = 8 cm.
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