Question

On which triangle can the law of cosines be used to find the length of an unknown side?

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Answer 1

We can find the length of unknown side by law of cosines of any triangle not just right angled triangle.

Given that we have to use law of cosines to find the length of unknown side.

We are required to find the triangle in which law of cosines can be applied.

$a^{2} =b^{2} +c^{2} -2bc cos (a)$

In this case we can find the length of side a using the above coine law. If we are given the values of side b, c and angle a , then it is easy to calculate the length of side a.

To find side b.

$b^{2} =a^{2} +c^{2} -2ac cos(b)$

To find side c.

$c^{2} =b^{2} +c^{2} -2bc cos(c)$

Just the given values in the formula and we can get the length of the missing side. We can get the missing angle also.

Hence  we can find the length of unknown side by law of cosines of any triangle not just right angled triangle.

Learn more about law of cosines at https://brainly.com/question/4372174

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