Question

What is the answer to this image

Answer 1

EA =
`(50)/(3)`

Explanation:

Δ CEA and Δ CDB are similar by the AA postulate. Then the ratios of corresponding sides are in proportion , that is

`(EA)/(DB)` =
`(CE)/(CD)` ( substitute values )

`(EA)/(10)` =
`(9+6)/(9)` =
`(15)/(9)` ( cross- multiply )

9 EA = 150 ( divide both sides by 9 )

EA =
`(150)/(9)` =
`(50)/(3)`