
Pythagorean Theorem - End of Unit
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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.
2.
FLASHCARD QUESTION
Front
If a = 12 and b = 35, what is c?
Back
c = 37, since 12² + 35² = 144 + 1225 = 1369, and √1369 = 37.
3.
FLASHCARD QUESTION
Front
Do the sides 6 mi, 14 mi, and 17 mi form a right triangle?
Back
No, because 6² + 14² = 36 + 196 = 232, which is not equal to 17² (289).
4.
FLASHCARD QUESTION
Front
Find the missing side if a = 4 and b = 16. What is c?
Back
c = √(4² + 16²) = √(16 + 256) = √272 = 16.49.
5.
FLASHCARD QUESTION
Front
Does the set of numbers 20, 25, and 15 represent a right triangle?
Back
Yes, because 15² + 20² = 225 + 400 = 625, which equals 25² (625).
6.
FLASHCARD QUESTION
Front
What is the distance formula?
Back
The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) in a coordinate plane: d = √((x₂ - x₁)² + (y₂ - y₁)²).
7.
FLASHCARD QUESTION
Front
Calculate the distance between the points (-5, 3) and (4, -5).
Back
Distance = √((4 - (-5))² + (-5 - 3)²) = √(9² + (-8)²) = √(81 + 64) = √145 = 12.04.
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