Gingerbread tomatoes

Number Theory Level pending

ABC is a triangle with AB = 23 cm , BC = (3x + 8) cms and AC = (x + 7)cms for some x € z . if C is obtuse angle , maximum possible area of the triangle is ?????

60 10 \sqrt{10} 24 27 \sqrt{27} 24 22 \sqrt{22} 80 5 \sqrt{5} 24 21 \sqrt{21} 80 20 \sqrt{20} 80 10 \sqrt{10} 27 27 \sqrt{27}

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