# What is the length of ac?

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## Question:

What is the length of ac?

The length of AC is 126 units.

Step-by-step explanation:

Given information: ED=9 units, AB=81 units, EC=x and AC=140-x.

In triangle ABC and EDC,

(Given)

(Given)

By AA property of similarity,

Both triangles ABC and EDC are similar. The corresponding sides of two similar triangles are proportional.

Divide both sides by 10.

The value of x is 14. So, the length of AC is

Therefore the length of AC is 126 units.

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