Pythagorean Theorem Review
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
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 are the legs of a right triangle?
Back
The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.
3.
FLASHCARD QUESTION
Front
If a right triangle has legs of 3 feet and 4 feet, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 feet.
4.
FLASHCARD QUESTION
Front
How do you find the diagonal of a rectangle using the Pythagorean Theorem?
Back
To find the diagonal (d) of a rectangle, use the formula: d² = width² + height².
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse.
6.
FLASHCARD QUESTION
Front
Can a triangle with sides 5, 12, and 13 be a right triangle?
Back
Yes, because 5² + 12² = 25 + 144 = 169 = 13².
7.
FLASHCARD QUESTION
Front
What is the formula to calculate the area of a right triangle?
Back
The area (A) of a right triangle can be calculated using the formula: A = (1/2) * base * height.
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