
24-25 Special Right 30-60-90 Assignment
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a 30-60-90 triangle?
Back
A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1:√3:2.
2.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the length of the side opposite the 30° angle is 'x', the side opposite the 60° angle is 'x√3', and the hypotenuse is '2x'.
3.
FLASHCARD QUESTION
Front
How do you find the height of an equilateral triangle?
Back
The height (h) can be found using the formula h = (√3/2) * side length.
4.
FLASHCARD QUESTION
Front
If the perimeter of an equilateral triangle is 90 inches, what is the length of one side?
Back
Each side is 30 inches, since the perimeter is divided equally among the three sides.
5.
FLASHCARD QUESTION
Front
What is the height of an equilateral triangle with a side length of 30 inches?
Back
The height is 15√3 inches.
6.
FLASHCARD QUESTION
Front
What is the value of 'x' in a 30-60-90 triangle if the hypotenuse is 50?
Back
x = 25, and the side opposite the 60° angle is 25√3.
7.
FLASHCARD QUESTION
Front
What is the value of 'y' in a 30-60-90 triangle if the side opposite the 30° angle is 8√3?
Back
y = 16.
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