In triangle ABC, E and D are the points on AB and AC respectively, such that angle ADE= Angle B. If AD=3.8cm , AE=3.6cm, BE=2.1cm and BC=4.2cm , then find DE



In ADE and ABC,  ADE = ABC    given  A = A      commonADE~ ABC   AA similarityADAB = DEBC = AEAC    Corresponding sides of similar 's are proportional ADAB = DEBC 3.83.6 + 2.1 = DE4.2 3.85.7 = DE4.2 23 = DE4.2 DE = 2.8 cm

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