# Triangle Congruence? SSA

- Author:
- brentsiegrist

- Topic:
- Congruence, Geometry

## Construct two different triangles with a 23° angle that is connected to a side of length 9 but not a side of length 4.

Construct two different triangles with a 23° angle that is connected to a side of length 9 but not a side of length 4. What is the length of the third side of the acute triangle, and what is the length of the third side of the obtuse triangle?

What happens if the 23° angle is connected to the side of length 4 rather than the side of length 9? Give the length of the resulting third side.

Attempt to construct two different triangles with a 23° angle that is connected to a side of length 9 but not a side of length 1. What happens?

Construct a triangle with a 90° angle connected to a side of length 6 but not a side of length 10. What is is length of the third side?

Construct a triangle with a 147° angle connected to a side of length 3 but not a side of length 7. What is is length of the third side?

Summarize what you have learned about using SSA to construct triangles.