Apply Laws of Sines and Cosines: CCSS.Math.Content.HSG-SRT.D.11 - Common Core: High School - Geometry

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 41 for , 6 for and 39 for .
Now our equation becomes

Now we rearrange the equation to solve for

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 60 for , 3 for and 51 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 45 for , 13 for and 65 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 26 for , 12 for and 41 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 36 for , 6 for and 58 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 26 for , 11 for and 17 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 81 for , 11 for and 66 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 70 for , 5 for and 50 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 11 for , 5 for and 64 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 78 for , 6 for and 52 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

In order to solve this, we need to recall the law of sines.

Where , and are angles, and , and , are opposite side lengths.

Now let's plug in 44 for , 7 for and 53 for .
Now our equation becomes

Now we rearrange the equation to solve for b

Now we round our answer to the nearest tenth.

Remember if your answer is negative, multiply it by -1, because side lengths can't be negative.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 11 for B , 71 for A and 179 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 18 for B , 66 for A and 78 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 32 for B , 82 for A and 95 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 3 for B , 81 for A and 182 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 29 for B , 108 for A and 131 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 27 for B , 120 for A and 116 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 27 for B , 123 for A and 111 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.

The first step is to create a picture

Since we have 2 angles, we can solve for the 3rd angle easily.

Now we can use the Law of Sines to figure out one side

Recall the Law of Sines

Now plug in 15 for B , 97 for A and 100 for a , and solve for the missing side.

Remember to round to the nearest hundredth.

Now we need to solve for the last side of the triangle.

To solve for this, we can use the Law of Cosines.

Lets recall the Law of Cosines.