Question

How many equilateral triangles are possible in a regular hexagon .

Answer 1

First of all why you took the center , i didn't mention

Answer 2

if u used Eclid's to contract a hexagon this is the rule , side of it is the same as the radius

Answer 3

it's actually only by joinig vertices i am asking about

Answer 4

*regular hexagon ( not any other )

Answer 5

@PFEH.1999 , only equilatral

Answer 6

@No.name ,sry made a mistake :(

Answer 7

how can you not know that? :O

Answer 8

Well , 2 equilateral triangles are possible but how

Answer 9

u dont need to mintion i have to take a center :P
i just constructed first 6 possible triangles :P

Answer 10

or just need from vertex points ?

Answer 11

i can take any random point , what's so special about the center
By the way , i only asked about triangles , by joining the vertices
nvm

Answer 12

there's nothing special-it's the rule

Answer 13

you have 6 equilateral triangles in a hexagon

Answer 14

+ you can see t from picture

Answer 15

I ASKED BY JOINING THE VERTICESSSSSSSS

Answer 16

yes but when you do that you can also join everything else :p

Answer 17

k here is a proof :-
joining vertex gives intersection inside ur polygon and its only one point since its regular )
2- the intersection point is the same as center ( for regular polygon )

Answer 18

this is all i can do for u :P
other wise maybe @ganeshie8 could explain what u want :D

Answer 19

but answer is two equilateral triangles

Answer 20

post the whol question

Answer 21

Actually its a question on probability wait 1 min

Answer 22

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral equals

Answer 23

total triangles is 6C2

Answer 24

total triangles = 20

Answer 25

ok its different question :|