Question

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

Answer 1

Answer:

$EF = 12$

Step-by-step 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:

$EF= n + 8$

$EF = 4 + 8$

$EF = 12$