In a triangle, find the length of the side not given, B=1,c=~17

Normally, capital letters are angles, small letters are sides. I have no idea what you are presenting.

In triangle you must have 3 elements.

3 sides OR

2 sides and 1 angle OR

1 side and 2 angles

You can not solve triangle with 2 elements.

If it's a right triangle, just use the pythagorean theorem. (Asq + Bsq = Csq

To find the length of the side not given, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles. In this case, we can use the Law of Cosines to find the length of side a.

The Law of Cosines states: c^2 = a^2 + b^2 - 2ab*cos(C), where a, b, and c are the side lengths of the triangle, and C is the angle opposite side c.

Given that B = 1 and c = ~17, we can rewrite the equation as follows to solve for a:

(17)^2 = a^2 + (1)^2 - 2*a*(1)*cos(C).

Simplifying, we have:

289 = a^2 + 1 - 2a*cos(C).

Since we are not given any specific angle measurements, we cannot directly solve for a. However, we can use further information or additional equations involving the angles of the triangle to find the value of a.