Math 2: Pythagorean Theorem & Trigonometry

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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: a² + b² = c².
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 are the three sides of a right triangle called?
Back
The three sides of a right triangle are called the hypotenuse (the side opposite the right angle) and the two legs (the other two sides).
4.
FLASHCARD QUESTION
Front
What is the sine of an angle in a right triangle?
Back
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.
5.
FLASHCARD QUESTION
Front
What is the cosine of an angle in a right triangle?
Back
The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.
6.
FLASHCARD QUESTION
Front
What is the tangent of an angle in a right triangle?
Back
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
7.
FLASHCARD QUESTION
Front
How do you find the length of a side in a right triangle using the Pythagorean Theorem?
Back
To find the length of a side, rearrange the Pythagorean Theorem formula: c = √(a² + b²) for the hypotenuse, or a = √(c² - b²) or b = √(c² - a²) for the legs.
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