Special Right Triangles.FA1
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a special right triangle?
Back
A special right triangle is a right triangle with specific angle measures and side length ratios, commonly the 45-45-90 triangle and the 30-60-90 triangle.
2.
FLASHCARD QUESTION
Front
What is the side length ratio of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the side lengths are in the ratio 1:1:√2.
3.
FLASHCARD QUESTION
Front
What is the side length ratio of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the side lengths are in the ratio 1:√3:2.
4.
FLASHCARD QUESTION
Front
If the legs of a 45-45-90 triangle are each 18, what is the length of the hypotenuse?
Back
The hypotenuse is 18√2.
5.
FLASHCARD QUESTION
Front
If the shorter leg of a 30-60-90 triangle is 7, what is the length of the longer leg?
Back
The longer leg is 7√3.
6.
FLASHCARD QUESTION
Front
How do you find the length of the diagonal of a square?
Back
The diagonal of a square can be found using the formula d = s√2, where s is the side length.
7.
FLASHCARD QUESTION
Front
If the diagonal of a square is 13 m, what is the side length?
Back
The side length is approximately 9.19 m.
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