Question

What is the length of AC? Please help!!!!

Answer 1

Answer:

Step-by-step explanation:

answer b

Answer 2

Answer:

Option B

Step-by-step explanation:

Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;

$BA and DE,\\AC and EC,\\BC and DC$

With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;

$DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC$

With that, the length of AC in respect to EC can be represented as such;

$AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12$

$AC = 156 - x = 156 - 12 = 144$

Solution - Option B