[tex] 8\sqrt{234}=8\sqrt{9\cdot26}=8\sqrt9\cdot\sqrt{26}=8\cdot3\sqrt{26}=24\sqrt{26}\\\\9\sqrt{650}=9\sqrt{25\cdot26}=9\sqrt{25}\cdot\sqrt{26}=9\cdot5\sqrt{26}=45\sqrt{26}\\\\5\sqrt{676}=5\cdot26=130\\\\\text{The perimeter of the triangle:}\\\\P_\triangle=130+45\sqrt{26}+24\sqrt{26}=130+69\sqrt{26} [/tex]
