Special Right Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+4
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 triangle with specific angle measures and side length ratios that make calculations easier. The two main 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 length ratios of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the side lengths are in the ratio 1 : √3 : 2, where 1 is the length of the side opposite the 30° angle, √3 is the length of the side opposite the 60° angle, and 2 is the hypotenuse.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
What is the height of an equilateral triangle with side length 's'?
Back
The height 'h' of an equilateral triangle can be calculated using the formula h = (√3/2) * s.
Tags
CCSS.6.G.A.1
4.
FLASHCARD QUESTION
Front
If the side length of a 30-60-90 triangle is 4, what is the length of the hypotenuse?
Back
The hypotenuse is 8, as it is twice the length of the shorter leg (4).
Tags
CCSS.HSG.CO.C.10
5.
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 triangle with the legs being equal in length.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What are the side length ratios of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the side lengths are in the ratio 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
7.
FLASHCARD QUESTION
Front
How do you find the length of the longer leg in a 30-60-90 triangle if the shorter leg is known?
Back
Multiply the length of the shorter leg by √3 to find the length of the longer leg.
Tags
CCSS.8.G.B.8
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