Answer:
Segment LM is 0.5 units longer than segment JK.
Step-by-step explanation:
We have been given that segment JK has a length of 4.5 units. If segment LM has end points of L (3,1) and M (-1,4).
We will find length of segment LM using distance formula.
\(D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Substitute given values:
\(D=\sqrt{(3-(-1))^2+(1-4)^2}\)
\(D=\sqrt{(3+1)^2+(-3)^2}\)
\(D=\sqrt{(4)^2+(-3)^2}\)
\(D=\sqrt{16+9}\)
\(D=\sqrt{25}\)
\(D=5\)
Therefore, the distance of segment LM is 5 units.
Now, we will find the difference between segment LM and JK as:
\(\text{Difference between LM and JK}=5-4.5\)
\(\text{Difference between LM and JK}=0.5\)
Therefore, segment LM is 0.5 units longer than segment JK.
