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Helen [10]
3 years ago
11

four segments measure 16, 19, 43 and 50 centimeters. what is the probability that a triangle can be formed if three of these seg

ments are chosen at random?
Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
OK, a triangle first of all needs to have a certain condition satisfied. The length of one side of a triangle can not equal the length of 2 sides combined. So in a triangle a + b = c, a + b can not be less than c (a + b <span>≮ c</span>). Therefore, there are only a few possibilities that will work here. Let's find them:

16, 19, 43; no

16, 19, 50; no

16, 43, 50; yes

19, 43, 50; yes 

Since only 2 out of 4 form triangles, there is a 50% chance you'll pick the right segments to form a triangle.
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