# In triangle ABC, If DE parallel to BC and ratio of sides ADand DB IS 2:4 find the ratio of DE:BC

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DE is parallel to BC so

AC is a transversal

angle ADE=angle ABC (corresponding angles)

angle AED=angle ACB(corresponding angles)

triangle AED ~ triangle ABC by AA similarity rule

AD:AB=AE:AC=DE:BC=2:4/1:2