Triangles in Square

Geometry Level 1

How many triangles are there in the above diagram?

20 4 12 16

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Chung Kevin by Chung Kevin , 45, Australia

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4 solutions

Andrew Veracruz
Mar 14, 2015

Simple, but enough to demonstrate recursion. Yeah, just count the outer triangles going inward.

10 Helpful 1 Interesting 0 Brilliant 0 Confused

Yes, that's right :)

Chung Kevin - 6 years, 2 months ago
Taqwir Alqadri
Mar 11, 2015

you just count the triangl. it's so simple, right?

5 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes, this was meant to be a fun question. I was drawing many squares and that the question came to me. I was slightly surprised that no additional triangles were created.

Chung Kevin - 6 years, 3 months ago

I used monte carlo simulation for this one

Bradley STrong - 6 years, 3 months ago

It's not critical. Just count d triangles. There's no trick.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

yes :D but at first I thought in it in the way of constructing diagonals then count :v xD

MuĦāmměd Àtef Abdoullah - 6 years, 3 months ago

all the normal triangle are here. you don't have to find the hidden triangles as there is no hidden triangle.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I was slightly sad that there were no hidden triangles. I really wanted there to be one, as it wasn't immediately clear.

Chung Kevin - 6 years, 3 months ago

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