Question

point a is the point of concurrency of the angle bisectors of δdef. what is the length of za? za = 3cm za = 4cm za = 5cm za = 6cm

Explanation:

Step1: Recall angle - bisector theorem property

The point of concurrency of the angle bisectors of a triangle (in - center) is equidistant from the sides of the triangle.

Step2: Identify the equal - distance property

Since point A is the in - center of $\triangle DEF$, the distances from A to the sides of the triangle are equal. We know that $AX = 3$ cm, $AY=3$ cm (because the in - center is equidistant from the sides), and $ZA$ is also the distance from the in - center A to side EF. So $ZA = 3$ cm.

Answer:

$ZA = 3$ cm