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MATH / How many diagonals does hexagon ABCDEF have?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

How many diagonals does hexagon ABCDEFABCDEF have? [asy]size(101); string[] labels = {"CC","BB","AA","FF","EE","DD"}; path p; for(int i = 0; i<6; ++i) { p = p--dir(360*i/6); label(labels[i],dir(360*i/6),dir(360*i/6),fontsize(10pt)); } draw(p--cycle); label("1",(0,1.03),fontsize(10));[/asy]
Plain-text mathematical notation (without MathML)
How many diagonals does hexagon ABCDEF have?

[asy]size(101);
string[] labels = {"C","B","A","F","E","D"};
path p;
for(int i = 0; i<6; ++i)
{
p = p--dir(360*i/6);
label(labels[i],dir(360*i/6),dir(360*i/6),fontsize(10pt));
}
draw(p--cycle);
label("1",(0,1.03),fontsize(10));[/asy]
Original LaTeX notation
How many diagonals does hexagon $ABCDEF$ have?

[asy]size(101);
string[] labels = {"$C$","$B$","$A$","$F$","$E$","$D$"};
path p;
for(int i = 0; i<6; ++i)
{
p = p--dir(360*i/6);
label(labels[i],dir(360*i/6),dir(360*i/6),fontsize(10pt));
}
draw(p--cycle);
label("1",(0,1.03),fontsize(10));[/asy]

level

Level 2

type

Counting & Probability

Discussion

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Source and history

task_id
5552ee9f-57af-50cc-b930-16d28df6814e
task_key
counting~5fand~5fprobability--test--5552ee9f-57af-50cc-b930-16d28df6814e
task_revision_id
1
config / split
counting_and_probability / test

Official source

initial import