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

Question

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] · Answer 1 · 2022-03-07T02:47:17+03:00

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.