+0  
 
+9
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6
avatar+549 

Let \(\Delta ABC\) be an equilateral triangle. How many squares in the same plane as \(\Delta ABC\) share two vertices with the triangle? 

(Post a solution not an answer.)

 Jun 13, 2020
edited by amazingxin777  Jun 13, 2020
edited by amazingxin777  Jun 13, 2020
 #1
avatar+338 
+2

1/2 base * hieght

 Jun 13, 2020
 #2
avatar+549 
+1

what do you mean? 

amazingxin777  Jun 13, 2020
 #3
avatar+307 
+1

Case 1: A side of the square as a side of the triangle

There are 6 cases for this: One square can be on the outside of the triangle, and one that contains the triangle.

Case 2: A diagonal of the square as a side of the triangle

There are 3 cases for this, because there are three sides.

In all: 6 + 3 = 9 sides

 Jun 13, 2020
 #4
avatar+549 
+2

thanks!

amazingxin777  Jun 13, 2020
 #5
avatar+338 
+4

1/2 base * hieght is the formula we use to solve th area

 Jun 13, 2020
 #6
avatar+549 
+3

Oh got it

amazingxin777  Jun 13, 2020

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