Answer:
B,5.4 units.
Step-by-step explanation:
Parallelogram RSTU
R(1,1),S(7,0),T(10,4),U(4,5)
slope of RU m=(5-1)/(4-1)=4/3
slope of RS=(0-1)/(7-1)=-1/6=-1/6
slope of ST=(4-0)/(10-7)=4/3
slope of TU=(5-4)/(4-10)=1/(-6)=-1/6
RU||ST
eq. of line RU is
y-y1=m(x-x1)
y-1=4/3(x-1)
3y-3=4x-4
4x-3y-4+3=0
4x-3y-1=0
perpendicular distance of a point (x1,y1) from line ax+by+c=0 is
[tex]d=\frac{ax1+by1+c}{\sqrt{a^2+b^2} } \\[/tex]
perpendicular distance of (7,0) from 4x-3y-1=0
[tex]d=\frac{4(7)-3(0)-1}{\sqrt{4^2+(-3)^2} } \\=\frac{28-1}{\sqrt{16+9} }\\=\frac{27}{5} \\=5.4~units[/tex]
