What is a 30-60-90 triangle?
30-60-90 Special Right Triangles Practice

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A 30-60-90 triangle is a special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides opposite these angles 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, if the shortest side (opposite the 30° angle) is 'x', then the side opposite the 60° angle is 'x√3', and the hypotenuse (opposite the 90° angle) is '2x'.
3.
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 (opposite the 30° angle). If the shortest side is 'x', then the hypotenuse is '2x'.
4.
FLASHCARD QUESTION
Front
If the shortest side of a 30-60-90 triangle is 5, what is the length of the hypotenuse?
Back
The hypotenuse is 10, since it is double the shortest side (5).
5.
FLASHCARD QUESTION
Front
What is the value of the side opposite the 60° angle in a 30-60-90 triangle if the shortest side is 4?
Back
The side opposite the 60° angle is 4√3.
6.
FLASHCARD QUESTION
Front
What is the formula to find the area of a 30-60-90 triangle?
Back
The area can be calculated using the formula: Area = (1/2) * base * height. For a 30-60-90 triangle, Area = (1/2) * x * (x√3) = (x^2√3)/2.
7.
FLASHCARD QUESTION
Front
What is the value of x in a 30-60-90 triangle if the hypotenuse is 12?
Back
If the hypotenuse is 12, then x (the shortest side) is 6, since the hypotenuse is 2x.
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