Pythagorean Theorem

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
What is the formula to find the length of the hypotenuse in a right triangle?
Back
The formula to find the length of the hypotenuse (c) is: c = √(a² + b²), where a and b are the lengths of the other two sides.
3.
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: c = √(3² + 4²) = √(9 + 16) = √25 = 5.
4.
FLASHCARD QUESTION
Front
What are the conditions for a triangle to be a right triangle?
Back
A triangle is a right triangle if it has one angle that measures 90 degrees and satisfies the Pythagorean Theorem.
5.
FLASHCARD QUESTION
Front
Which set of sides can form a right triangle? 5, 12, 13 or 8, 10, 12?
Back
The set 5, 12, 13 can form a right triangle because 5² + 12² = 13² (25 + 144 = 169).
6.
FLASHCARD QUESTION
Front
How do you determine if a triangle is a right triangle using side lengths?
Back
To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides.
7.
FLASHCARD QUESTION
Front
What is the length of the diagonal of a rectangle with length 40 yards and width 30 yards?
Back
Using the Pythagorean Theorem: diagonal = √(40² + 30²) = √(1600 + 900) = √2500 = 50 yards.
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