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Triangle Inequality

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  • Does a triangle with these side lengths exist? 8, 10, 20
    No
  • Q. Which set of side lengths will make a triangle? (A) 6, 8, 15 ; (B) 6,8,13 ; (C) 7, 7, 14 ; (D) 2, 6, 9
    B
  • Does a triangle with these side lengths exist? 15.8 12.4, 9.2
    Yes, only one
  • Q. Compare QT and ST. (A) QT<ST ; (B) QT=ST ; (C) QT>ST ; (D) QT ​ ≅ ST
    A
  • Does a triangle with these side lengths exist? 4, 4, 4
    Yes
  • Q. Which two angles are the remote interior angles to Angle A?
    Angle C and Angle D
  • Q. Identify the smallest angle.
    ∠A
  • Q. Identify the smallest angle.
    ∠L
  • Q. Find the indicated angle measure. (What is ?)
    107°
  • Q. Set up an equation to find x.
    52 + 5x + 16 = 10x + 8
  • Q. The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.
    greater than
  • Q. It is called the HINGE theorem, because...
    A
  • Q. Identify the shortest side measure.
    QM
  • Q. What is the measure of x?
    111°
  • Q. Solve for x.
    4
  • Q. Find the indicated angle. (What is ?)
    91°
  • Q. Does a triangle with these side lengths exist? 20, 10, 9
    No
  • Does a triangle with these side lengths exist? 15, 12, 9
    Yes
  • Q. Find the indicated angle measure (What is ?)
    70°
  • Q. Identify the longest side measure.
    AC