SOLUTION: One stick is 3 ft long and another is 6 ft long. You break the longer stick into sections. (a) If the sections are 2 ft and 4 ft long, will the sticks form a triangle?
(b) If the
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Question 1158597: One stick is 3 ft long and another is 6 ft long. You break the longer stick into sections. (a) If the sections are 2 ft and 4 ft long, will the sticks form a triangle?
(b) If the sections are 1 ft and 5 ft long, will the sticks form a triangle?
(c) If you break the longer stick at an arbitrary point, what is the probability that they form a triangle?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
One stick is long and another is long. You break the longer stick into sections.
(a) If the sections are and long, will the sticks form a triangle?
recall: The Triangle Inequality Theorem states that the of any sides of a triangle be greater than the measure of the side.
so,
->-> ->true
->->-> true
->-> ->true
=> the sticks form a triangle
(b) If the sections are and long, will the sticks form a triangle?
->->-> false
->-> ->false
->->-> true
since two false => the sticks will form a triangle
(c) If you break the longer stick at an arbitrary point, what is the probability that they form a triangle?
the probability that they form a triangle is or r approximately %
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