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In figure (1);(2) ,DE||BC find Ec …

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In figure (1);(2) ,DE||BC find Ec in(1) and AD in (2)

Posted by Manish Routhan 4 years ago

CBSE > Class 10 > Mathematics

1 answers

Sumit Yadav 4 years ago

In, ΔABC BC || DE In ΔABC and ΔADE ∠ABC = ∠ADE [corresponding angles] ∠ACB = ∠AED [ corresponding angles] ∠A = ∠A common ⇒ ΔABC ~ ΔADE AD/DB = AE/EC 1.5/3 = 1/EC EC = 3 × 1/1.5 EC = 2 cm (ii) In ΔABC and ΔADE ∠ABC = ∠ADE [corresponding angles] ∠ACB = ∠AED [ corresponding angles] ∠A = ∠A common ΔABC ∼ ΔADE AD/DB = AE/EC AD/7.2 = 1.8/5.4 AD = (7.2 × 1.8)/5.4 AD = 2.4 cm

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