Answer:
AB=5.143 units
Explanation:
Given that:
[tex]\text{Triangle ABC}\cong\text{Triangle HJR}[/tex]
Then:
[tex]\frac{AB}{HJ}=\frac{AC}{HR}=\frac{BC}{JR}[/tex]
Substituting the given values, we have:
[tex]\begin{gathered} \frac{x+4}{18}=\frac{6}{21} \\ 21(x+4)=6\times18 \\ 21x+84=108 \\ 21x=108-84 \\ 21x=24 \\ x=\frac{24}{21} \end{gathered}[/tex]
Therefore, the length of side AB is:
[tex]\begin{gathered} AB=x+4 \\ =\frac{24}{21}+4 \\ =5.143 \end{gathered}[/tex]
