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The ratio of the sides of a triangular shaped park is 3 : 4 : 5 and the perimeter of the park is 170 m. What is the perpendicular distance in meters from the vertex, opposite to the largest side of the park?
$$2400\sqrt{84}$$
$$2400\sqrt{42}$$
$$4800\sqrt{42}$$
$$2400\sqrt{21}$$
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