+0  
 
0
2216
3
avatar+69 

In the drawing, a triangle is formed by drawing a line segment of length a from (4,3) to the positive x-axis. For what value(s) of a can you form

a) one triangle?

b) two triangles?

c) no triangles?

 

http://imgur.com/18AUsRM <<<< Link to the provided diagram, 

 Apr 12, 2016

Best Answer 

 #2
avatar+129847 
+5

One triangle is formed when a = 3

 

Two triangles can be formed when   3 < a < 5

 

No triangle will be formed when a < 3

 

 

 

cool cool cool

 Apr 12, 2016
 #1
avatar+64 
0

After quickly seeing this, I think I have the answer to A and C.

 

a.) You can form a triangle if the line segment a was connected to a positive real number on the x axis EXCEPT for 0.

c.) You can form no triangle if the line segment a was connected to 0.

 

I have no idea how you could get 2 triangles.

 Apr 12, 2016
 #2
avatar+129847 
+5
Best Answer

One triangle is formed when a = 3

 

Two triangles can be formed when   3 < a < 5

 

No triangle will be formed when a < 3

 

 

 

cool cool cool

CPhill Apr 12, 2016
 #3
avatar+26387 
+5

In the drawing, a triangle is formed by drawing a line segment of length a from (4,3) to the positive x-axis. For what value(s) of a can you form

a) one triangle?

b) two triangles?

c) no triangles?

 

\(\begin{array}{|c|c|c|c|c|c|} \hline & a<3 & a=3 & 3<a<5 & a=5 & a > 5 \\ \hline \text{triangles} &0 & 1 & 2 & 1 & 1 \\ \hline \end{array}\)

\(\begin{array}{|c|c|c|c|c|c|} \hline & a<3 & a=3 & 3<a<5 & a=5 & a > 5 \\ \hline \text{triangles} &0 & 1 & 2 & 1 & 1 \\ \hline \end{array}\)

 

laugh

 Apr 12, 2016

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