Special Right Triangles
Flashcard
•
Mathematics
•
10th 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 that allow for easy calculation of side lengths. The two main types are the 45-45-90 triangle and the 30-60-90 triangle.
2.
FLASHCARD QUESTION
Front
What are the side ratios of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.
3.
FLASHCARD QUESTION
Front
If the length of a leg in a 45-45-90 triangle is x, what is the length of the hypotenuse?
Back
The length of the hypotenuse is x√2.
4.
FLASHCARD QUESTION
Front
What are the side ratios 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 opposite the 60-degree angle, and 2 is the hypotenuse.
5.
FLASHCARD QUESTION
Front
If the length of the side opposite the 30-degree angle in a 30-60-90 triangle is x, what is the length of the hypotenuse?
Back
The length of the hypotenuse is 2x.
6.
FLASHCARD QUESTION
Front
If the length of the hypotenuse in a 30-60-90 triangle is y, what is the length of the side opposite the 30-degree angle?
Back
The length of the side opposite the 30-degree angle is y/2.
7.
FLASHCARD QUESTION
Front
If the length of the side opposite the 60-degree angle in a 30-60-90 triangle is z, what is the length of the hypotenuse?
Back
The length of the hypotenuse is 2z/√3.
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