In ( ABC ), points (D ) and (E ) are the midpoints of sides (AB ) and (AC )…

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

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

Related theory

Browse the problem library