Pythagorean Theorem and special right triangles practice

Flashcard
•
Mathematics
•
9th Grade
•
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). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
3.
FLASHCARD QUESTION
Front
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
4.
FLASHCARD QUESTION
Front
In a 45-45-90 triangle, what is the relationship between the legs and the hypotenuse?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of one leg.
5.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 45-45-90 triangle with legs of length 5?
Back
The length of the hypotenuse is 5√2, which is approximately 7.07.
6.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, what is the relationship between the sides?
Back
In a 30-60-90 triangle, the length of the side opposite the 30-degree angle is half the length of the hypotenuse, and the length of the side opposite the 60-degree angle is √3 times the length of the shorter side.
7.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 30-60-90 triangle with the shorter leg measuring 4?
Back
The length of the hypotenuse is 8.
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