Pythagorean Theorem and Special Right Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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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). Formula: a² + b² = c².
2.
FLASHCARD QUESTION
Front
In a 45-45-90 triangle, what is the relationship between the lengths of the legs?
Back
The lengths of the legs are equal.
3.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 45-45-90 triangle if each leg is of length 'x'?
Back
The length of the hypotenuse is x√2.
4.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, what is the relationship between the lengths of the sides?
Back
The length of the side opposite the 30° angle is half the length of the hypotenuse, and the length of the side opposite the 60° angle is √3 times the length of the side opposite the 30° angle.
5.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is 'x'?
Back
The length of the hypotenuse is 2x.
6.
FLASHCARD QUESTION
Front
What is the length of the longer leg in a 30-60-90 triangle if the shorter leg is 'x'?
Back
The length of the longer leg is x√3.
7.
FLASHCARD QUESTION
Front
What is the formula used to solve for the hypotenuse in a right triangle?
Back
a² + b² = c².
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