A line parallel to a triangle's side splits AB into lengths of x - 6 and x. The other side, AC, is split into lengths of x + 6 and x + 20. What is the length of AC? A) 36 B) 46 C) 56 D) 66

Option C: 56 is the length of AC

Explanation:

Let DE be the line parallel to BC

Let D divides the side AB and E divides the side E

The lengths of the sides are , , and

We need to determine the length of AC

The value of x:

By side splitter theorem, we have,

Substituting the values, we have,

Simplifying, we get,

Thus, the value of x is 15

Length of AC:

The length of AC is given by

Thus, the length of AC is 56

Hence, Option C is the correct answer.

it is b)

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step-by-step explanation: