Pythagorean Theorem
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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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
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
3.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3 feet and the other leg is 4 feet, what is the length of the hypotenuse?
Back
5 feet (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
Do the lengths 5, 12, and 13 form a right triangle?
Back
Yes, because 5² + 12² = 25 + 144 = 169, which is equal to 13².
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the formula to find the length of a side in a right triangle using the Pythagorean Theorem?
Back
To find the length of a side, rearrange the formula: a² = c² - b² or b² = c² - a².
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
In a right triangle, if the hypotenuse is 10 feet and one leg is 6 feet, what is the length of the other leg?
Back
8 feet (using the Pythagorean Theorem: 10² - 6² = 100 - 36 = 64; √64 = 8).
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What are the conditions for a triangle to be a right triangle?
Back
A triangle is a right triangle if one of its angles is exactly 90 degrees.
Tags
CCSS.2.G.A.1
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