Question
Triangle:
Side AB 45
Side AC 32
Use the inverse if cosine to find the interior angle measure of vertex. Round your answer to the nearest whole degree.
θ ≈ ___
Side AB 45
Side AC 32
Use the inverse if cosine to find the interior angle measure of vertex. Round your answer to the nearest whole degree.
θ ≈ ___
Answers
GPT-4o mini
To find the interior angle at vertex A of triangle ABC using the cosine rule, we need to know the length of side BC (let's denote it as side a), along with sides AB (b = 45) and AC (c = 32).
However, since we don't have the length of side BC, we cannot directly apply the cosine rule. Assuming you meant to use a specific configuration or additional information about side BC or angle C, I would need that to continue.
If you want to use the cosine rule, it is stated as follows:
\[
\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}
\]
Once we have side a, we can plug in the values to find the angle A.
If side BC is equal to the length of side AB or AC but want to get an interior angle based on those provided only. We need at least one more side length. Please provide that length or additional context, and I would be glad to help!
However, since we don't have the length of side BC, we cannot directly apply the cosine rule. Assuming you meant to use a specific configuration or additional information about side BC or angle C, I would need that to continue.
If you want to use the cosine rule, it is stated as follows:
\[
\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}
\]
Once we have side a, we can plug in the values to find the angle A.
If side BC is equal to the length of side AB or AC but want to get an interior angle based on those provided only. We need at least one more side length. Please provide that length or additional context, and I would be glad to help!