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if D and E are points on the sides AB a...

if D and E are points on the sides AB and AC of a `DeltaABC`. Such that AB=12 cm, AD=8 cm, AE=12 cm, AC= 18 cm. show that DE||BC.

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To prove that line segment DE is parallel to line segment BC in triangle ABC, we will use the properties of similar triangles and the converse of Thales' theorem. Here’s a step-by-step solution: ### Step 1: Draw Triangle ABC Draw triangle ABC with points D and E located on sides AB and AC respectively. Label the lengths as follows: - AB = 12 cm - AC = 18 cm - AD = 8 cm - AE = 12 cm ...
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