What is the length of the midsegment \( \overline{RQ} \) in a triangle with bases of lengths 4 and 12?
5.4 - 5.5 REVIEW

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Mathematics
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9th - 12th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The length of the midsegment is the average of the two bases: \( \frac{4 + 12}{2} = 8 \).
2.
FLASHCARD QUESTION
Front
Can the sides of a triangle have lengths 3, 9, and 4?
Back
No, because the sum of the lengths of any two sides must be greater than the length of the third side (3 + 4 < 9).
3.
FLASHCARD QUESTION
Front
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6? (Options: 6, 7, 5, 4)
Back
4, because the third side must be less than the sum of the other two sides (2 + 6 > 4) and greater than their difference (6 - 2 < 4).
4.
FLASHCARD QUESTION
Front
Can the sides of a triangle have lengths 15, 8, and 17?
Back
Yes, because 15 + 8 > 17, 15 + 17 > 8, and 8 + 17 > 15.
5.
FLASHCARD QUESTION
Front
Find the value of x in the equation 2x + 3 = 15.
Back
x = 6.
6.
FLASHCARD QUESTION
Front
What is the Triangle Inequality Theorem?
Back
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
7.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?
Back
Yes, because \( 5^2 + 12^2 = 13^2 \) (25 + 144 = 169).
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