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To find the area of a triangle when two sides and the included angle are given, we use the formula:

\[
A = \frac{1}{2}ab \sin(\gamma)
\]

Where:
- \( a = 8 \)
- \( b = 13 \)
- \( \gamma = 68^\circ \)

Now, I'll calculate the area.

Let me compute that.The area of the triangle is approximately \( 48.2 \, \text{square units} \).

Do you have any further questions or need more details?

Here are some related questions to consider:
1. How do you find the area of a triangle if all three sides are given?
2. What is the formula to find the area of a triangle using the base and height?
3. How can you convert between degrees and radians in trigonometry?
4. How does the sine rule help in solving non-right triangles?
5. What is the relationship between different types of triangles and their area formulas?

**Tip**: Always make sure your calculator is set to the correct mode (degrees or radians) when working with angles!

Find the area of the following triangle with γ = 68°, a = 8, and b = 13. Round your answer to one decimal place.

Learn how to find the area of a triangle when two sides and the included angle are provided. This problem focuses on using the formula A = 1/2 * a * b * sin(γ) with specific values for γ = 68°, a = 8, and b = 13. Ideal for students in Grades 10-12.

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