Pythagorean Theorem (Word Problems)
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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). This can be expressed as: a² + b² = c².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem only applies to right triangles.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
In the equation a² + b² = c², what does 'c' represent?
Back
'c' represents the length of the hypotenuse, which is the side opposite the right angle in a right triangle.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
If one side of a right triangle is 6 meters and the other side is 8 meters, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 6² + 8² = 36 + 64 = 100. Therefore, c = √100 = 10 meters.
Tags
CCSS.8.G.B.7
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the hypotenuse is always the longest side, and it is opposite the right angle.
6.
FLASHCARD QUESTION
Front
How do you find the length of a side in a right triangle if you know the lengths of the other two sides?
Back
You can use the Pythagorean Theorem: a² + b² = c², where you can solve for the unknown side.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the distance a ladder reaches against a wall if it is 13 meters long and the base is 5 meters away from the wall?
Back
Using the Pythagorean Theorem: a² + 5² = 13². Therefore, a² = 169 - 25 = 144, so a = √144 = 12 meters.
Tags
CCSS.8.G.B.8
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