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Triangle Inequality Review
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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
Perth, Darwin, and Sydney are three cities in Australia. Which two of the cities are the farthest apart?
Perth and Sydney
Two roads meet at the angles shown in the picture. Which intersection, A or B, is closer to C?
B
Based on the measurements shown, side AB must be:
B - between 7 and 10 ft
Which side lengths could not form a triangle?
Orange
Which inequality correctly shows the relationship of the sides of triangle ABC?
Purple
Which inequality correctly shows the relationship of the angles in Triangle JKL?
Light Blue
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
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
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 long. Which one of the following measurements should he buy? 3 ft, 25 ft, 21 ft
21 ft
Is it possible to draw a triangle with these given measurements? 10, 28, 19
Yes
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