Answer:
EA = [tex]\frac{50}{3}[/tex]
Step-by-step explanation:
Δ CEA and Δ CDB are similar by the AA postulate. Then the ratios of corresponding sides are in proportion , that is
[tex]\frac{EA}{DB}[/tex] = [tex]\frac{CE}{CD}[/tex] ( substitute values )
[tex]\frac{EA}{10}[/tex] = [tex]\frac{9+6}{9}[/tex] = [tex]\frac{15}{9}[/tex] ( cross- multiply )
9 EA = 150 ( divide both sides by 9 )
EA = [tex]\frac{150}{9}[/tex] = [tex]\frac{50}{3}[/tex]
