Pythagorean Theorem Models
Flashcard
•
Mathematics
•
7th - 9th Grade
•
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 can be expressed as: c² = a² + b².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
If the area of square b is 144 ft², what is the length of side b?
Back
The length of side b is 12 ft, since the area of a square is calculated as side², so √144 = 12.
Tags
CCSS.3.MD.C.7B
CCSS.4.MD.A.3
3.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 5 ft?
Back
The area is 25 ft², calculated as side² = 5² = 25.
Tags
CCSS.3.MD.C.7B
CCSS.4.MD.A.3
4.
FLASHCARD QUESTION
Front
If the area of square a is 45 in², what is the length of side a?
Back
The length of side a is √45, which is approximately 6.7 in.
Tags
CCSS.3.MD.C.7B
CCSS.4.MD.A.3
5.
FLASHCARD QUESTION
Front
What is the area of a square with a side length of 13 ft?
Back
The area is 169 ft², calculated as side² = 13² = 169.
Tags
CCSS.3.MD.C.7B
CCSS.4.MD.A.3
6.
FLASHCARD QUESTION
Front
In a right triangle with sides 10, 24, and 26, which side is the hypotenuse?
Back
The hypotenuse is the longest side, which is 26.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?
Back
The area of the yellow square is 144 in², calculated as 169 - 25 = 144.
Tags
CCSS.3.MD.C.7B
CCSS.4.MD.A.3
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