Pythagorean Theorem

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
Standards-aligned
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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.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
Which type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem ONLY works on right triangles.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
If a right triangle has side lengths of 6, 8, and 10, which side is the hypotenuse?
Back
The hypotenuse is 10.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
What is the formula to find the length of the hypotenuse in a right triangle?
Back
The formula is c = √(a² + b²), where c is the hypotenuse and a and b are the other two sides.
Tags
CCSS.8.G.B.8
5.
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
The hypotenuse is 5 cm, calculated as √(3² + 4²) = √(9 + 16) = √25 = 5.
Tags
CCSS.8.G.B.7
6.
FLASHCARD QUESTION
Front
True or False: The Pythagorean Theorem can be used for any triangle.
Back
False. The Pythagorean Theorem can only be used for right triangles.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
In a right triangle, if the lengths of the two legs are 5 cm and 12 cm, what is the length of the hypotenuse?
Back
The hypotenuse is 13 cm, calculated as √(5² + 12²) = √(25 + 144) = √169 = 13.
Tags
CCSS.8.G.B.7
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