Question

In the diagram, DC is 10 units and BC is 6 units. What is the length of segment AC?

Answer 1

For this case what we must observe are the following triangles:

ADB

BDC

According to the diagram, the triangles have exactly the same dimensions.

Therefore, it is fulfilled:

$AB = BC = 6$

Then, the value of AC is given by:

$AC = AB + BC$

Substituting values we have:

$AC = 6 + 6\\AC = 12 units$

Answer:

The value of AC is given by:

$AC = 12 units$

option 3

Answer 2

Since the angle bcd = 90 degrees bad is the same so if BC = 6 than AC is double that so 12 units