4. Solving Right Triangles

5. Essential Question
How do I solve a right triangle?

6. Vocabulary
Solve a right triangle – to determine the measures of all six parts (3 angles, 3 sides).

7. Inverse Trig Ratios
We use the inverse sine, inverse cosine, and inverse tangent if we are trying to find angle measures.
The calculator buttons look like this:
sin-1
cos-1
tan-1

8. Example 1
Find the acute angles of the triangle. Round to the nearest tenth.

9. Try This!
Find the acute angles of the triangle. Round to the nearest tenth.

10. Example 2
Solve the right triangle.

11. Try This!
Solve the right triangle.

12. Summarizer
What is the minimum amount of information needed to solve a right triangle?
2 side lengths or…
1 side length and 1 acute angle measure