Answer:
AP = CP = 6.33
Step-by-step explanation:
1. AP using cosine rule
[tex]c^{2}=a^{2}+b^{2} - 2ab * cos C[/tex]
2. Solve
[tex]c^{2}=15^{2}+12^{2} - 2(15)(12) * cos(24)[/tex]
[tex]c^{2}=40.12[/tex]
[tex]c=AP=\sqrt{ans}[/tex]
[tex]c=AP=6.33[/tex]
3. AP = PC
