Special Right Triangles 45-45-90 and 30-60-90
Flashcard
•
Mathematics
•
10th - 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 legs are of equal length, and the hypotenuse is √2 times the length of each 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 lengths of the sides are in the ratio 1:√3:2.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, if the length of the shorter leg is 'x', what is the length of the longer leg?
Back
The longer leg is x√3.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, if the length of the hypotenuse is 'h', what is the length of the shorter leg?
Back
The shorter leg is h/2.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
In a 45-45-90 triangle, if the length of one leg is 'a', what is the length of the hypotenuse?
Back
The hypotenuse is a√2.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in a 30-60-90 triangle?
Back
The side opposite the 30° angle is the shortest, the side opposite the 60° angle is √3 times the shortest, and the hypotenuse is twice the shortest side.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
If the hypotenuse of a 45-45-90 triangle is 10, what is the length of each leg?
Back
Each leg is 10/√2 or 5√2.
Tags
CCSS.8.G.B.8
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