Pythagorean Theorem
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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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
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 a right triangle has sides of length 3 and 4, what is the length of the hypotenuse?
Back
5 (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
True or False: The hypotenuse is always the longest side in a right triangle.
Back
True.
5.
FLASHCARD QUESTION
Front
What are the side lengths of a right triangle if the hypotenuse is 10 and one side is 6?
Back
The other side is 8 (Using the Pythagorean Theorem: 10² = 6² + b², so 100 = 36 + b², thus b² = 64, and b = 8).
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
Do the sides 5, 12, and 13 form a right triangle?
Back
Yes (5² + 12² = 25 + 144 = 169, and 13² = 169).
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the formula to find the length of a missing side in a right triangle?
Back
Use the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse and a and b are the other two sides.
Tags
CCSS.8.G.B.8
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