Answer:
AB/AD=1/2 AC/AE=1/2
Explanation:
The distance between 2 points A(x1; y1) and B(x2; y2) can be calculated as:
AB= sqrt((x1-x2)²+(y1-y2)²)
So in our case AB= sqrt ((1-3)²+(4-1)²)= sqrt(2²+3²)=sqrt(13)
AD=sqrt ((-1-3)²+(7-1)²)= sqrt(4²+6²)=sqrt(52)
AB/AD=sqrt(13)/sqrt(52)= sqrt(13/52)=sqrt(1/4) =1/2
AB/AD =1/2
AC= sqrt ((5-3)²+(3-1)²)= sqrt(2²+2²)=sqrt(8)
AE=sqrt ((7-3)²+(5-1)²)= sqrt(4²+4²)=sqrt(32)
AC/AE=sqrt(8)/sqrt(32)= sqrt(8/32)=sqrt(1/4)=1/2
AC/AE=1/2