Pythagorean Theorem

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+1
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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: a² + b² = c².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
In a right triangle, which side is the hypotenuse?
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 6 and the other side is 8, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 6² + 8² = 36 + 64 = 100, so c = √100 = 10.
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
What is the square root of 49?
Back
7
Tags
CCSS.8.EE.A.2
5.
FLASHCARD QUESTION
Front
If the lengths of the two legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 5² + 12² = 25 + 144 = 169, so c = √169 = 13.
Tags
CCSS.8.G.B.7
6.
FLASHCARD QUESTION
Front
True or False: The Pythagorean Theorem can only be used for right triangles.
Back
True
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the formula to find the length of one side of a right triangle if the hypotenuse and one leg are known?
Back
If c is the hypotenuse and a is one leg, then b can be found using: b = √(c² - a²).
Tags
CCSS.8.G.B.8
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