probability of getting an isosceles triangle

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probability of getting an isosceles triangle

by Vemuri » Wed Apr 29, 2009 9:09 am
What is the probability of getting an isosceles triangle by joining 3 vertices of a regular hexagon?

A) 3/10
B) 3/5
C) 1/2
D) 2/5
E) None of the above

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by dumb.doofus » Wed Apr 29, 2009 1:08 pm
No of triangles possible = 6C3 = 20

No of Isosceles triangle possible = 6 because you'll have to have the adjacent sides of equal length. that's only possible if two adjacent sides of the hexagon form the the two equal sides of the isosceles triangle..

so probability = 6/20 = 3/10

Answer = 3/10
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by scoobydooby » Wed Apr 29, 2009 9:13 pm
had to sketch to get the picture :(
total triangles that can be formed from a hexagon: 6C3=20
isoscles triangles can be formed when three adjacent vertices say A, B, C are taken and AC joined by a sttaight line. we get 6 of those triangles in a star formation

so 6/20=3/10
hence, A
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