Question

point a is the incenter of \\( \triangle def \\). what is the length of na? 2 units 9 units 11 units 14 units

Explanation:

Step1: Recall incenter property

The incenter of a triangle is equidistant from all sides, so \( AL = AM = AN \). Thus, \( 5x - 1 = 6x - 3 \).

Step2: Solve for \( x \)

$$
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$$

Step3: Find \( AL \) (or \( AM \), then \( AN \))

Substitute \( x = 2 \) into \( 5x - 1 \): \( 5(2) - 1 = 10 - 1 = 9 \). So \( AN = 9 \) units.

Answer:

9 units