ll The painting competition.lh of ages of all the particpants is 168 years, find the age ofMIC, if ΖΑ DE ,/B, then prove that MDE ~ ΔΑΒC.InAAD-76 cm, AE 72cm, BE 42 cm and BC 84 cm, then find DEAlso,

ll The painting competition.lh of ages of all the particpants is 168 y

1.	ll The painting competition.lh of ages of all the particpants is 168 years, find the age ofMIC, if ΖΑ DE ,/B, then prove that MDE ~ ΔΑΒC.InAAD-76 cm, AE 72cm, BE 42 cm and BC 84 cm, then find DEAlso,
Answer» Given : AD= 7.6 cm, AE= 7.2 cm, BE= 4.2 cm, BC= 8.4 cm.In ∆ADE and ∆ABC∠A = ∠A (COMMON)∠ADE = ∠ABC (GIVEN)∆ADE~∆ABC (AA Similarity)AD/AB = DE /BC[Ratios of the corresponding sides of the similar triangles are equal]7.6 / (7.2+4.2)= DE/8.47.6 /11.4 = DE/8.4DE= (7.6 × 8.4) /11.4DE= (7.6×8.4)/11.4DE = 63.84/11.4= 5.6 cmHence, DE= 5.6 cm