Special Right Triangles

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a 45-45-90 triangle?
Back
A special right triangle where the angles are 45°, 45°, and 90°. The lengths of the legs are equal, and the hypotenuse is √2 times the length of a leg.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is a 30-60-90 triangle?
Back
A special right triangle where the angles are 30°, 60°, and 90°. The length of the side opposite the 30° angle is half the hypotenuse, and the length of the side opposite the 60° angle is √3 times the length of the shorter leg.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
If the leg of a 45-45-90 triangle is 5, what is the length of the hypotenuse?
Back
5√2
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
If the hypotenuse of a 30-60-90 triangle is 10, what is the length of the shorter leg?
Back
5 (half of the hypotenuse).
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
If the shorter leg is x, then the longer leg is x√3 and the hypotenuse is 2x.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
Find the length of the hypotenuse in a 45-45-90 triangle with legs of length 4.
Back
4√2
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, if the longer leg is 6√3, what is the length of the hypotenuse?
Back
12 (the longer leg is √3 times the shorter leg).
Tags
CCSS.8.G.B.8
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