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
probability of getting an isosceles triangle
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- dumb.doofus
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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
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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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
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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