Pythagorean Theorem

Flashcard
•
Mathematics
•
6th - 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 is expressed as 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
If one side of a right triangle is 6 units and the other side is 8 units, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10 units.
4.
FLASHCARD QUESTION
Front
What is the formula for finding the hypotenuse in a right triangle?
Back
The formula for finding the hypotenuse is a² + b² = c².
5.
FLASHCARD QUESTION
Front
In the context of the Pythagorean Theorem, what do the letters a, b, and c represent?
Back
In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the two legs of the right triangle, while 'c' represents the length of the hypotenuse.
6.
FLASHCARD QUESTION
Front
How can the Pythagorean Theorem be used in real-life applications?
Back
The Pythagorean Theorem can be used in various real-life applications such as construction, navigation, and determining distances between points.
7.
FLASHCARD QUESTION
Front
If a right triangle has a hypotenuse of 13 units and one leg of 5 units, what is the length of the other leg?
Back
Using the Pythagorean Theorem: c² = a² + b², so 13² = 5² + b². This gives 169 = 25 + b², thus b² = 144, and b = 12 units.
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