Answer:
The rungs are perpendicular to the other side.
Step-by-step explanation:
Given
The sides of ladder are parallel.Rungs is perpendicular to one side of the ladder.
Let [tex]a\parallel b[/tex]
[tex]a\perp c[/tex]
When two lines are parallel then the slopes of two lines are equal.
We can say [tex]m_1=m_2[/tex]
Where [tex]m_1[/tex]= slope of line a( side of ladder)
[tex]m_2[/tex]= solpe of line b( side of ladder)
When two lines are perpendicular then slopes of two lines are opposite reciprocal to each other.
We can say [tex]m_2=-\frac{1}{m_3}[/tex]
Where [tex]m_2[/tex]= Slope of line b
[tex]m_3 [/tex]=Slope of line c (rung)
By transitive property of equality we get
[tex]m_1=-\frac{1}{m_3}[/tex]
Hence, the slope of side of ladder a and rung c are opposite reciprocal to each other.Therefore , the rungs are perpendicular to the other side.
