# Precalculus : The Ambiguous Case (SSA, ASS)

## Example Questions

← Previous 1

### Example Question #1 : The Ambiguous Case (Ssa, Ass)

Given  and , what is the measurement of  to the nearest degree?

Explanation:

Using the information we have, we can solve for

.

Plugging in what we know, we have:

.

Then, solve for

.

Simplify, then solve for  which means .

Therefore, after rounding to the nearest degree, .

To solve for , subtract  and  from .

Therefore, .

### Example Question #9 : Law Of Sines

Find the length of the missing side, .

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #10 : Law Of Sines

Find the length of the missing side, .

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #2 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side, .

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #3 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side,

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #4 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side,

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #5 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side, .

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #6 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side, .

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #7 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side,

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

### Example Question #6 : The Ambiguous Case (Ssa, Ass)

Find the length of the missing side, .

Explanation:

First, use the Law of Sines to find the measurement of angle

Recall that all the angles in a triangle need to add up to  degrees.

Now, use the Law of Sines again to find the length of .

← Previous 1