Question

A triangle has sides A, B, and C. The angle between sides A and B is `pi/12`. If side C has a length of `22` and the angle between sides B and C is `pi/12`, what is the length of side A?

Answer 1

`color(blue)(ca = c = 22 " units"`

Explanation:

`c = 22, hat C = pi/12, hat A = pi/12, hat b = pi = pi/12 - pi/12 = (5pi)/6`

As per the theorem, If in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.

Hence, given triangle is an isosceles triangle with sides a & c equal as their angles equal `(pi/12)`

`:. a = c = 22 " units"`