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How many different isosceles right triangles can be formed from three dots in the grid below? Two examples are shown.

Down below I think is the link to the triangle image

https://latex.artofproblemsolving.com/4/6/8/46880283129cd15b93da151b9df96e2514bfde69.png

Jun 16, 2020

#1
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Tsk. The picture is hard to see, but I will try my best.

Isosceles triangles are triangles with 2 sides that are the same length. There are 9 dots.

There are triangles with side lengths 1, 1, sqrt(2) and 2, 2, 2*sqrt(2). So on and so forth. There are 16+4=20 triangles.

Yay!

Edit: I found that this question was posted 4 MONTHS AGO! Jesus... it's like you guys are doing the same course with the same questions or something...

Jun 16, 2020
edited by Varxaax  Jun 16, 2020
#2
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im sorry that answer that you put is incorrect the correct answer is 28 triangles I put it into aops and I got it right guess u better check over your work again

Guest Jun 16, 2020
#3
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dude the pictue isnt even blurry

Guest Jun 16, 2020