Pythagorean Theorem
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
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 a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
Tags
CCSS.4.G.A.2
3.
FLASHCARD QUESTION
Front
If a right triangle has sides of length 3 and 4, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25, so c = √25 = 5.
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
What are the conditions for a triangle to be a right triangle?
Back
A triangle is a right triangle if it satisfies the Pythagorean Theorem: a² + b² = c², where c is the longest side.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the formula to find the length of one side of a right triangle if the other two sides are known?
Back
To find the length of one side, rearrange the Pythagorean Theorem: a = √(c² - b²) or b = √(c² - a²).
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 5-12-13 triangle?
Back
The sides 5, 12, and 13 form a right triangle because 5² + 12² = 25 + 144 = 169 = 13².
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
Can the sides 8, 10, and 12 form a right triangle?
Back
No, because 8² + 10² = 64 + 100 = 164, which is not equal to 12² (144).
Tags
CCSS.8.G.B.8
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