special right triangles
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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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 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 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 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
4.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 30-60-90 triangle?
Back
To find the hypotenuse, double the length of the shortest side (the side opposite the 30° angle). If the shortest side is 'x', then the hypotenuse is '2x'.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
How do you find the length of the longer leg in a 30-60-90 triangle?
Back
To find the longer leg (the side opposite the 60° angle), multiply the length of the shortest side (the side opposite the 30° angle) by √3. If the shortest side is 'x', then the longer leg is 'x√3'.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the formula for the diagonal of a square?
Back
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
If the diagonal of a square is 18, what is the side length?
Back
Tags
CCSS.8.G.B.7
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