Special Right Triangles
Flashcard
•
Mathematics
•
8th Grade - University
•
Hard
Standards-aligned
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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 easy calculation of side lengths. The two most common types are the 30-60-90 triangle and the 45-45-90 triangle.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
What are the side ratios of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the side lengths are in the ratio 1 : √3 : 2. The shortest side (opposite the 30° angle) is 'x', the longer leg (opposite the 60° angle) is 'x√3', and the hypotenuse is '2x'.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a 30-60-90 triangle if the short leg is 6?
Back
The hypotenuse is 12, calculated as 2 times the short leg (2 * 6 = 12).
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
If the hypotenuse of a 30-60-90 triangle is 14, what is the length of the short leg?
Back
The short leg is 7, calculated as half of the hypotenuse (14 / 2 = 7).
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the length of the longer leg in a 30-60-90 triangle if the short leg is 3?
Back
The longer leg is 3√3, calculated as the short leg multiplied by √3 (3 * √3).
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the relationship between the angles in a 45-45-90 triangle?
Back
In a 45-45-90 triangle, both angles are 45°, making it an isosceles right triangle where the legs are equal in length.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What are the side ratios of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the side lengths are in the ratio 1 : 1 : √2. Both legs are equal, and the hypotenuse is √2 times the length of each leg.
Tags
CCSS.8.G.B.8
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