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Triangle Inequality
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Is it possible to draw a triangle with these given measurements? 10, 28, 19
Yes
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 inequality correctly shows the relationship of the angles in Triangle JKL?
Light Blue
Which inequality correctly shows the relationship of the sides of triangle ABC?
Purple
Which side lengths could not form a triangle?
Orange
Based on the measurements shown, side AB must be:
B
Two roads meet at the angles shown in the picture. Which intersection, A or B, is closer to C?
B
Perth, Darwin, and Sydney are three cities in Australia. Which two of the cities are the farthest apart?
Perth and Sydney
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
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
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
True or False? Angle 3 is less than Angle 5
True
True or False? Angle 8 is less than Angle 4
False
True or False? Angle 6 is greater than Angle 1
True
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. Which one of the following measurements should he buy? 3 feet, 25 feet, 21 feet
21 feet
Order the SIDES of Triangle DEF in order from GREATEST to SMALLEST.
Side EF, Side ED, Side DF
Name the ANGLES of Triangle ABC in order from GREATEST TO SMALLEST
Angle B, Angle C, Angle A
Is it possible to draw a triangle with these given measurements? 47, 70, 28
Yes
Is it possible to draw a triangle with these given measurements? 12, 34, 12
No
Is it possible to draw a triangle with these given measurements? 10,29,9
No
Is it possible to draw a triangle with these given measurements? 8.6, 13.2, 4.6
No
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