[tex]\begin{gathered} In\text{ a inscribed circle in a triangle, we have that} \\ AJ=BJ \\ AL=LC \\ CK=BK \\ In\text{ our case:} \end{gathered}[/tex][tex]\begin{gathered} AL=LC=10 \\ CK=BK=14 \\ AJ=BJ=9 \\ \text{The perimeter P is given by} \\ P=AL+LC+CK+BK+AJ+JB \\ P=(10+10)+(14+14)+(9+9) \\ P=20+28+18 \\ P=66 \\ \text{hence the perimeter is 66} \end{gathered}[/tex][tex]\text{your question is incomplete in the first part}[/tex][tex]\begin{gathered} I\text{ supposed AJ=9. do you have a picture of the question?} \\ my\text{ supposition was correct, AJ=9. Then, my answer is correct} \end{gathered}[/tex][tex]\text{take your time. If you have questions, let me know, please}[/tex]
