Special Right Triangles & Pythagorean Thm
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a 30-60-90 triangle?
Back
A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1 : √3 : 2.
2.
FLASHCARD QUESTION
Front
What is a 45-45-90 triangle?
Back
A special right triangle where the angles are both 45 degrees and the sides are in the ratio 1 : 1 : √2.
3.
FLASHCARD QUESTION
Front
How do you find the length of the long leg in a 30-60-90 triangle if the short leg is known?
Back
Multiply the length of the short leg by √3.
4.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 30-60-90 triangle if the short leg is known?
Back
Multiply the length of the short leg by 2.
5.
FLASHCARD QUESTION
Front
What is the relationship between the legs in a 45-45-90 triangle?
Back
The lengths of the legs are equal.
6.
FLASHCARD QUESTION
Front
If the length of the hypotenuse in a 45-45-90 triangle is 8, what is the length of each leg?
Back
Each leg is 8/√2 or 4√2.
7.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).
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