Question

Given the triangle below, what is the length of the third side, rounded to the nearest whole number?

Answer 1

Wouldn't it be 19 also

Answer 2

the length of third side is 16.

Explanation:

We can use Law of Cosine to find the third side of the triangle.

Law of Cosine is given by

`a^2=b^2+c^2-2bc\cosA`

Substituting the known values, we get

`a^2=12^2+19^2-2\cdot12\cdot19\cos56`

On simplifying, we get

`a^2=505-456\cos56\\\\a^2=250.008\\\\a=15.81`

When rounded to nearest whole number, the length of third side is 16.