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We are given that triangles \( \triangle GFH \cong \triangle PQO \), which means they are congruent. Congruent triangles have corresponding sides and angles that are equal.

From triangle \( \triangle GFH \), we know the following:

- \( GF = 50 \, \text{ft} \)
- \( FH = 40 \, \text{ft} \)
- \( GH = 56 \, \text{ft} \)
- \( \angle G = 44^\circ \)
- \( \angle F = 76^\circ \)
- \( \angle H = 60^\circ \)

Since the triangles are congruent, the corresponding sides and angles in \( \triangle PQO \) will be equal to those in \( \triangle GFH \). This gives us the following correspondences:

- \( GF \cong PO \)
- \( FH \cong OQ \)
- \( GH \cong PQ \)

We are tasked with finding \( OP \). Since \( GF = 50 \, \text{ft} \) and \( GF \cong PO \), we can directly conclude that:

\[
OP = 50 \, \text{ft}
\]

Would you like further clarification or additional details?

Here are 5 related questions to expand on this topic:

1. How can you use congruent triangles to solve real-world problems involving measurements?
2. What is the significance of corresponding angles in congruent triangles?
3. How do the properties of congruent triangles help in simplifying geometric proofs?
4. Can you find the perimeter of \( \triangle PQO \) using the given information?
5. How do you determine if two triangles are congruent using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) postulate?

**Tip:** Always label the sides and angles carefully when working with congruent triangles to ensure that corresponding parts are matched correctly!

Learn how to find the length of side OP in △PQO by using the congruence of △GFH and △PQO. This problem covers key geometric concepts such as triangle congruence and corresponding sides. Suitable for students in Grades 9-11.

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