Question

point a is the point of concurrency of the angle bisectors of \\( \triangle def \\).
what is the length of za?
\\( \bigcirc za = 3cm \\)
\\( \bigcirc za = 4cm \\)
\\( \bigcirc za = 5cm \\)
\\( \bigcirc za = 6cm \\)

Explanation:

Step1: Recall the property of in - center

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

Step2: Use the equidistant property

Since \(A\) is the in - center of \(\triangle DEF\), \(AX = AY=AZ\). Given \(AX = 3\mathrm{cm}\)

Answer:

\(ZA = 3\mathrm{cm}\)