1. Triangle $$ A B C $$ has side lengths as follows. AB is 7 inches, BC is 12 inches and CA is 9 inches. List the angles from smallest to largest.

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To determine the order of the angles in triangle $$ ABC $$ from smallest to largest, we can use the **Law of Sines**, which states that in any triangle, larger sides are opposite larger angles. Here's how to apply this principle:

1. **Identify the Sides and Their Opposite Angles:**
   - **Side $$ AB = 7 $$ inches** is opposite **angle $$ C $$**.
   - **Side $$ BC = 12 $$ inches** is opposite **angle $$ A $$**.
   - **Side $$ CA = 9 $$ inches** is opposite **angle $$ B $$**.

2. **Compare the Side Lengths:**
   - **12 inches** (side $$ BC $$) is the longest side.
   - **9 inches** (side $$ CA $$) is the next longest.
   - **7 inches** (side $$ AB $$) is the shortest side.

3. **Determine the Order of the Angles:**
   - The largest side (**12 inches**) is opposite the largest angle (**$$ A $$**).
   - The next largest side (**9 inches**) is opposite the next largest angle (**$$ B $$**).
   - The smallest side (**7 inches**) is opposite the smallest angle (**$$ C $$**).

**Therefore, the angles from smallest to largest are:**

$$
\angle C < \angle B < \angle A
$$
The angles from smallest to largest are $$ \angle C $$, $$ \angle B $$, and $$ \angle A $$.

1. Triangle \( A B C \) has side lengths as follows. AB is 7 inches, BC is 12 inches and CA is 9 inches. List the angles from smallest to largest.

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