Pythagorean Theorem

Flashcard
•
Mathematics
•
7th - 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: 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 applies only 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 and is always the longest side of a right triangle.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 and the other side is 4, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25. Therefore, c = √25 = 5.
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 length of the hypotenuse is always greater than the lengths of either of the other two sides.
6.
FLASHCARD QUESTION
Front
Can the Pythagorean Theorem be used for non-right triangles?
Back
No, the Pythagorean Theorem is specifically for right triangles.
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 if the hypotenuse and one side are known?
Back
If the hypotenuse (c) and one side (a) are known, the length of the missing side (b) can be found using the formula: b = √(c² - a²).
Tags
CCSS.8.G.B.8
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