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Step-by-step explanation:

AI-generated answerThe lengths of HL and BD cannot be determined based solely on the given information. In order to determine the length of HL, we need additional information about the triangle or the relationship between the sides and angles. Similarly, to find the length of BD, we need more information about the quadrilateral or the relationship between its sides and angles.  Please provide more details or equations related to the triangle or quadrilateral so that we can help you determine the lengths of HL and BD accurately.