Pythagorean Theorem

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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14 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 hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
3.
FLASHCARD QUESTION
Front
If one side of a right triangle is 14 and the hypotenuse is 20, how can you find the length of the other side?
Back
You can use the Pythagorean Theorem: x² + 14² = 20². Solve for x.
4.
FLASHCARD QUESTION
Front
What is the value of 15²?
Back
15² = 225.
5.
FLASHCARD QUESTION
Front
How do you solve for x in the equation 15² + x² = 21²?
Back
First, calculate 15² and 21². Then, rearrange the equation to isolate x²: x² = 21² - 15². Finally, take the square root of both sides to find x.
6.
FLASHCARD QUESTION
Front
What is the formula to calculate the area of a right triangle?
Back
The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : √3 : 2, where 1 is the length of the side opposite the 30-degree angle, √3 is the length of the side opposite the 60-degree angle, and 2 is the length of the hypotenuse.
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