Mathematics

Mathematics

Problem

In △ABC\triangle ABC, points DD and EE are the midpoints of sides ABAB and ACAC respectively. Answer the following questions. a. (i) State the Midpoint Theorem for a triangle. b. (ii) Using the information given, explain why DE ∥ BCDE\,\parallel\,BC. No numerical calculation is required. c. (iii) If DE ∥ BCDE\,\parallel\,BC, what relation holds between the lengths DEDE and BCBC? Give a brief justification.

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