Question

what is the value of t?

Explanation:

Step1: Identify the triangle type

Since two angles (\(\angle C\) and \(\angle B\)) are equal, the triangle is isosceles. In an isosceles triangle, the sides opposite the equal angles are equal.

Step2: Determine the value of \(t\)

The side opposite \(\angle B\) is \(CD = 3\), and the side opposite \(\angle C\) is \(BD=t\). Because of the property of the isosceles triangle (equal angles imply equal - opposite sides), \(t = 3\).

Answer:

\(3\)