Question

what is the value of t?
h
3
g
t
f
i
t = \boxed{}

Explanation:

Step1: Identify Congruent Triangles

The diagram shows two triangles with a common vertex \( I \), and marked congruent sides (the tick marks) and a congruent angle (the arc marks). By the Side - Angle - Side (SAS) congruence criterion, the two triangles are congruent.

Step2: Determine Corresponding Sides

In congruent triangles, corresponding sides are equal. The side of length \( 3 \) in triangle \( HI G \) corresponds to the side of length \( t \) in triangle \( F I G \). So, \( t = 3 \).

Answer:

\( 3 \)