1. **State the problem:** We have an isosceles trapezoid EFGH with sides EG and FH given by expressions $EG = 2s + 93$ and $FH = s + 98$. We need to find the value of $s$.
2. **Recall the property of isosceles trapezoids:** In an isosceles trapezoid, the non-parallel sides (legs) are equal in length. Here, $EG$ and $FH$ are the legs, so we set them equal:
$$2s + 93 = s + 98$$
3. **Solve the equation:**
Subtract $s$ from both sides:
$$2s + 93 - \cancel{s} = s + 98 - \cancel{s} \implies s + 93 = 98$$
Subtract 93 from both sides:
$$s + 93 - 93 = 98 - 93 \implies s = 5$$
4. **Conclusion:** The value of $s$ is 5.
Isosceles Trapezoid S A3C940
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.