Question

if (overline{fg}congoverline{gh}), (fi = t + 44), and (hi = 3t), what is the value of (t)?

Explanation:

Step1: Apply property of congruent segments

Since $\overline{FG}\cong\overline{GH}$, then $FI = HI$ (by the property of perpendicular - bisector).

Step2: Set up equation

Set $t + 44=3t$.

Step3: Solve for t

Subtract $t$ from both sides: $44 = 2t$. Then $t = 22$.

Answer:

22