What is the Triangle Inequality Theorem?
Unit 7 - Triangles (Part 2) Test A

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
Can the sides 16, 8, and 12 form a triangle?
Back
Yes, because 16 < 8 + 12, 8 < 16 + 12, and 12 < 16 + 8.
3.
FLASHCARD QUESTION
Front
Can the sides 8, 13, and 9 form a triangle?
Back
Yes, because 8 + 9 > 13, 8 + 13 > 9, and 9 + 13 > 8.
4.
FLASHCARD QUESTION
Front
How do you find the missing side length in a right triangle?
Back
Use the Pythagorean theorem: a² + b² = c², where c is the hypotenuse.
5.
FLASHCARD QUESTION
Front
What is the sine of an angle in a right triangle?
Back
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.
6.
FLASHCARD QUESTION
Front
What is the cosine of an angle in a right triangle?
Back
The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.
7.
FLASHCARD QUESTION
Front
What is the tangent of an angle in a right triangle?
Back
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
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