Triangle Inequality Review

Two roads meet at the angles shown in the picture. Which intersection, A or B, is closer to C?

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?

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

Is it possible to draw a triangle with these given measurements? 10, 28, 19

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

Perth, Darwin, and Sydney are three cities in Australia. Which two of the cities are the farthest apart?

Which side lengths could not form a triangle?

If two sides of a triangle measure 10 cm and 35 cm, what is the range of possibilities for the third side?

Which inequality correctly shows the relationship of the sides of triangle ABC?

Which inequality correctly shows the relationship of the angles in Triangle JKL?

Based on the measurements shown, side AB must be: