6.8A Triangle Sides and Angles
Flashcard
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
Can the following side measures form a triangle? 3, 5, 8
Back
No, because the sum of the lengths of the two shorter sides (3 + 5 = 8) is not greater than the length of the longest side (8).
2.
FLASHCARD QUESTION
Front
Which of the following does not represent the lengths of the sides of a triangle? 2 cm, 6 cm, 7 cm, 5 cm, 2 cm, 5 cm, 5 cm, 5 cm, 8 cm, 3 cm, 10 cm, 15 cm
Back
3 cm, 10 cm, 15 cm do not satisfy the triangle inequality theorem.
3.
FLASHCARD QUESTION
Front
Find the measure of the missing angle if the other two angles are 62° and 60°.
Back
The missing angle is 58°, because the sum of angles in a triangle is 180° (180° - 62° - 60° = 58°).
4.
FLASHCARD QUESTION
Front
Does a triangle with these side lengths exist? 15, 12, 9
Back
Yes, because the sum of the lengths of any two sides (15 + 12 > 9, 15 + 9 > 12, 12 + 9 > 15) is greater than the length of the third side.
5.
FLASHCARD QUESTION
Front
Which side lengths would NOT form a triangle? {3,4,5}, {2,5,9}, {5,10,12}, {7,9,11}
Back
{2,5,9} do not satisfy the triangle inequality theorem.
6.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
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.
7.
FLASHCARD QUESTION
Front
If one angle of a triangle is 90°, what type of triangle is it?
Back
It is a right triangle.
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