Pythagorean Theorem

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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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
What are the conditions for a triangle to be a right triangle?
Back
A triangle is a right triangle if one of its angles measures 90 degrees. Additionally, it must satisfy the Pythagorean Theorem.
Tags
CCSS.4.G.A.2
3.
FLASHCARD QUESTION
Front
If the lengths of two sides of a right triangle are 9 and 12, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 9² + 12² = 81 + 144 = 225. Therefore, c = √225 = 15.
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
Do the segment lengths 9, 12, and 15 form a right triangle?
Back
Yes, because 9² + 12² = 15² (81 + 144 = 225).
Tags
CCSS.8.G.B.8
5.
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.
6.
FLASHCARD QUESTION
Front
If a right triangle has side lengths 6, 6.7, and 3, which side is the hypotenuse?
Back
The hypotenuse is 6.7, as it is the longest side.
7.
FLASHCARD QUESTION
Front
How do you find the length of a missing side in a right triangle?
Back
Use the Pythagorean Theorem: a² + b² = c², where c is the hypotenuse and a and b are the other two sides.
Tags
CCSS.8.G.B.7
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