Question

Given the figure below, find EF if CA = (6n) and EF = (n + 8)

Answer 1

`EF = 12`

Explanation:

Given

`CA =6n`

`EF= n + 8`

Required

Find CN

From the attachment:

`EF = CD\ and\ CD = DA`

Where

`CA = CD + DA`

This means that:

`CA = CD + CD`

`CA = 2CD`

or

`CA = 2*EF`

This gives:

`6n = 2*(n+8)`

Open bracket

`6n = 2n+16`

Collect anf simplify like terms

`4n = 16`

`n= 4`

So:

`EF= n + 8`

`EF = 4 + 8`

`EF = 12`