Copy of Special Right Triangles
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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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 and side length ratios, such as the 45-45-90 triangle and the 30-60-90 triangle.
2.
FLASHCARD QUESTION
Front
What are the side length ratios of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.
3.
FLASHCARD QUESTION
Front
What are the side length ratios of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the length of the side opposite the 30° angle is half the length of the hypotenuse, and the length of the side opposite the 60° angle is √3 times the length of the shorter leg.
4.
FLASHCARD QUESTION
Front
How can you determine if a triangle is acute, right, or obtuse based on side lengths?
Back
Use the Pythagorean theorem: If a² + b² = c², the triangle is right; if a² + b² > c², it is acute; if a² + b² < c², it is obtuse.
5.
FLASHCARD QUESTION
Front
What is the Pythagorean theorem?
Back
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 5, 12, and 13, what type of triangle is it?
Back
It is a right triangle, since 5² + 12² = 13².
7.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8, 15, and 17, what type of triangle is it?
Back
It is a right triangle, since 8² + 15² = 17².
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