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,
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.
One triangle is formed when a = 3
Two triangles can be formed when 3 < a < 5
No triangle will be formed when a < 3
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?
\(\begin{array}{|c|c|c|c|c|c|} \hline & a<3 & a=3 & 3<a<5 & a=5 & a > 5 \\ \hline \text{triangles} &0 & 1 & 2 & 1 & 1 \\ \hline \end{array}\)
\(\begin{array}{|c|c|c|c|c|c|} \hline & a<3 & a=3 & 3<a<5 & a=5 & a > 5 \\ \hline \text{triangles} &0 & 1 & 2 & 1 & 1 \\ \hline \end{array}\)