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Triangle Inequality Theorem in One Triangle

Quiz by MARIJANE ONGSOYCO

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9 questions
Show answers
  • Q1
    According to the Triangle Inequality Theorem, which set of lengths cannot form a triangle?
    $7, 10, 12$
    $3, 4, 5$
    $5, 12, 13$
    $2, 7, 10$
    30s
  • Q2
    If the lengths of two sides of a triangle are $8$ and $15$, which of the following could be the length of the third side?
    $24$
    $23$
    $9$
    $7$
    30s
  • Q3
    Which of the following sets of numbers can be the lengths of the sides of a triangle?
    $10, 20, 30$
    $6, 8, 9$
    $5, 5, 12$
    $1, 2, 3$
    30s
  • Q4
    For a triangle with sides of lengths $a$, $b$, and $c$, if $a = 4$ and $b = 11$, what is the smallest possible integer value for $c$?
    $5$
    $8$
    $15$
    $7$
    30s
  • Q5
    What is the largest possible integer value for the third side of a triangle if the other two sides measure $9$ inches and $5$ inches?
    $15$
    $13$
    $12$
    $14$
    30s
  • Q6
    If the two shorter sides of a right-angled triangle are $6$ cm and $8$ cm, what is the length of the hypotenuse?
    $10$
    $12$
    $14$
    $9$
    30s
  • Q7
    Given a triangle with side lengths of $10$, $15$, and $x$, for which of the following values of $x$ does the Triangle Inequality Theorem hold true?
    $25$
    $12$
    $30$
    $5$
    30s
  • Q8
    If a triangle has side lengths of $3$ inches, $4$ inches, and $x$ inches, where $x$ is an integer, what is the largest possible value for $x$?
    $5$
    $7$
    $8$
    $6$
    30s
  • Q9
    If a triangle has sides of lengths $13$ inches, $15$ inches, and $x$ inches, and $x$ is an integer, what is the smallest possible value for $x$?
    $2$
    $3$
    $1$
    $4$
    30s

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