Special Right Triangles
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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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 easier calculations of side lengths. The two main types are the 45°-45°-90° triangle and the 30°-60°-90° triangle.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
What are the angle measures of a 45°-45°-90° triangle?
Back
The angle measures are 45°, 45°, and 90°.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
What is the ratio of the sides in a 45°-45°-90° triangle?
Back
The ratio of the sides is 1:1:√2, where the legs are equal and the hypotenuse is √2 times the length of each leg.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
What are the angle measures of a 30°-60°-90° triangle?
Back
The angle measures are 30°, 60°, and 90°.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
What is the ratio of the sides in a 30°-60°-90° triangle?
Back
The ratio of the sides is 1:√3:2, where the side opposite the 30° angle is 1, the side opposite the 60° angle is √3, and the hypotenuse is 2.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
If one leg of a 45°-45°-90° triangle is 5, what is the length of the hypotenuse?
Back
The hypotenuse is 5√2.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
If the hypotenuse of a 30°-60°-90° triangle is 10, what is the length of the side opposite the 30° angle?
Back
The length of the side opposite the 30° angle is 5.
Tags
CCSS.8.G.B.8
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