In ∆ABC, DE II BC, DB= 5.4cm, AD = 1.8cm, EC = 7.2cm then AE = ____.
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Answer:
AE=2.4 com
Step-by-step explanation:
Compare similar triangles, ABC and ADE.
AD/AB=AE/AC
Given, DB=5.4, AD=1.8, EC=7.2
So. AB = AD+DB=5.4+1.8=7.2
Let AE = x
So, AC = AE+EC=x+7.2
Thus, using the equation, 1.8/7.2=x/(x+7.2)=1/4
4x=x+7.2
3x=7.2 and x=2.4 cm=AE
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