https://file.aiquickdraw.com/mathbot/file/1727349896385a5df1yf8.jpg

The correct answers are:

- \( b = 5.7 \) (rounded to one decimal place)
- \( A = 51.1^\circ \)
- \( B = 38.9^\circ \)

Would you like more details, or do you have any further questions?

Here are some related questions for practice:
1. How would the result change if \( a = 8 \) and \( c = 10 \)?
2. What is the sine of angle \( A \) in this triangle?
3. Can you calculate the cosine of angle \( B \)?
4. What formula did we use to find the side \( b \)?
5. How can we verify the sum of angles in a right triangle?

**Tip:** Always ensure that the angles in a right triangle add up to \( 90^\circ \) when dealing with a right-angled triangle.

Suppose a = 7 and c = 9. Find b, angle A, and angle B in a right triangle.

Solve the right triangle problem where a = 7 and c = 9. Use the Pythagorean theorem to find side b and apply trigonometric ratios to determine angles A and B. This exercise covers key trigonometric concepts and is suitable for students in grades 9-12.

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