Pythagorean Theorem

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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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 one side of a right triangle is 3 cm and the other side is 4 cm, what is the length of the hypotenuse?
Back
5 cm (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
True or False: The hypotenuse is always the longest side in a right triangle.
Back
True.
5.
FLASHCARD QUESTION
Front
Which of the following sets of numbers can represent the sides of a right triangle? 5, 12, 13 or 4, 5, 6?
Back
5, 12, 13 (This set satisfies the Pythagorean Theorem: 5² + 12² = 25 + 144 = 169; √169 = 13).
Tags
CCSS.8.G.B.8
6.
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
7.
FLASHCARD QUESTION
Front
If the hypotenuse is 10 cm and one side is 6 cm, what is the length of the other side?
Back
8 cm (Using the Pythagorean Theorem: 10² = 6² + b²; 100 = 36 + b²; b² = 64; b = 8).
Tags
CCSS.8.G.B.7
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