On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A)

options are in the pics

On which triangle can the law of cosines be applied once to find an unknown angle measure Law of cosines a2 b2 c2 2bccosA options are in the pics class=
On which triangle can the law of cosines be applied once to find an unknown angle measure Law of cosines a2 b2 c2 2bccosA options are in the pics class=
On which triangle can the law of cosines be applied once to find an unknown angle measure Law of cosines a2 b2 c2 2bccosA options are in the pics class=
On which triangle can the law of cosines be applied once to find an unknown angle measure Law of cosines a2 b2 c2 2bccosA options are in the pics class=

Respuesta :

I think it's D but don't quote me on that

Answer: The correct option is 4.

Explanation:

The formula of law of cosine is,

[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]

Where a,b,c are sides of the triangle and A is the interior angle of vertex A.

Reason for correct option:

From the above formula we can easily conclude that to find an unknown angle measure we need the length of all sides of the triangle.

In figure 4 all sides are given, so the correct option is 4.

Reason for incorrect option:

In figure 1,2 and three all sides are not known, so we can apply the cosine rule to mind the unknown angle measure.

Therefore option 1,2 and 3 are incorrect.