The length of DC based on the information given about the triangle is 19.37.
Based on the given information, it should be noted that:
AB² = AD² + BD²
25² = AD² + 5²
625 = AD² + 25
AD² = 625 - 25
AD² = 600
AD = √600
AD = 24.5
DC² = AD² + - AB² (Pythagoras theorem)
DC² = 24.5² + 15²
DC² = 375.25
DC = 19.37
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