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Triangle Inequality

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  • Which inequality correctly shows the relationship of the angles in Triangle JKL?
    Light Blue
  • Which set of numbers could be the lengths of the sides of a triangle? a) 1,2,3 b) 208,9,219 c) 5.2,11,4.9 d) 13,10,16
    d) 13,10,16
  • Which inequality correctly shows the relationship of the sides of triangle ABC?
    Purple
  • Is it possible to draw a triangle with these given measurements? 47, 70, 28
    Yes
  • Based on the measurements shown, side AB must be:
    B
  • True or False? Angle 6 is greater than Angle 1
    True
  • True or False? Angle 8 is less than Angle 4
    False
  • Order the SIDES of Triangle DEF in order from GREATEST to SMALLEST.
    Side EF, Side ED, Side DF
  • Two roads meet at the angles shown in the picture. Which intersection, A or B, is closer to C?
    B
  • If two sides of a triangle measure 10 cm and 35 cm, what is the range of possibilities for the third side?
    25 cm < x < 45 cm.
  • True or False? Angle 5 is less than Angle 6
    False
  • Which side lengths could not form a triangle?
    Orange
  • Is it possible to draw a triangle with these given measurements? 10,29,9
    No
  • If two sides of a triangle measure 5 inches and 8 inches, what is the range of possibilities for the third side?
    3 < x < 13
  • Robert goes to Lowe's to get a fence post to use to finish his triangular flower bed. He already has two fence posts at home that are 10 feet and 13 feet. Which one of the following measurements should he buy? 3 feet, 25 feet, 21 feet
    21 feet
  • Is it possible to draw a triangle with these given measurements? 10, 28, 19
    Yes
  • True or False? Angle 3 is less than Angle 5
    True
  • If two sides of a triangle measure 10 cm and 35 cm, what is the range of possibilities for the third side?
    25<x<45
  • Name the ANGLES of Triangle ABC in order from GREATEST TO SMALLEST
    Angle B, Angle C, Angle A
  • Some kitchen planners design kitchens by drawing a triangle and placing an appliance at each vertex. What are possible distances between the refrigerator and the range?
    1 < x < 11
  • Is it possible to draw a triangle with these given measurements? 8.6, 13.2, 4.6
    No
  • Perth, Darwin, and Sydney are three cities in Australia. Which two of the cities are the farthest apart?
    Perth and Sydney
  • Is it possible to draw a triangle with these given measurements? 12, 34, 12
    No