What is the Pythagorean Theorem?
Pythagorean Theorem Word Problems Flashcard 1

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
2.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a right triangle?
Back
To find the length of the hypotenuse, use the Pythagorean Theorem: c = √(a² + b²), where c is the hypotenuse and a and b are the lengths of the other two sides.
3.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
4.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5 units.
5.
FLASHCARD QUESTION
Front
What is the formula to calculate the distance between two points in a coordinate plane?
Back
The distance formula is: d = √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points.
6.
FLASHCARD QUESTION
Front
How do you round a number to the nearest tenth?
Back
To round a number to the nearest tenth, look at the hundredths place. If it is 5 or greater, round up the tenths place by one. If it is less than 5, keep the tenths place the same.
7.
FLASHCARD QUESTION
Front
What is the diagonal length of a rectangle with a width of 6 units and a height of 8 units?
Back
Using the Pythagorean Theorem: d = √(6² + 8²) = √(36 + 64) = √100 = 10 units.
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