Question

Prove: The segment joining the midpoints of two sides of a triangle is parallel to the third side.

Answer 1

m=tan(y/x)
u just need to prove that the slopes are the same , I mean both are zero

Answer 2

\[m=\frac{ y _{2}-y _{1} }{ x_{2}-x_{1} }\]
\[m _{1}=\frac{ \frac{ d }{ 2 }-\frac{ d }{ 2 } }{ \frac{ a+c }{ 2 }-\frac{ c }{ 2 } }=0\]
\[m_{2}=\frac{ 0-0 }{ a-0 }=0\]
\[m _{1}=m _{2}\]

Answer 3

since the shape produced is a rectangle , then th sides are parallel to each other