Is it possible to split a triangle in two, making a two right triangles, and how?

Question

I have a problem, where I want to figure out how to split a triangle in two making two right triangles. The line has to be $90^\circ$ degrees from line $c$ (red font in picture), and has to meet with point $C$ (black font)

We know that The triangle is $73^\circ$ , $75^\circ$, and $32^\circ$, We also know that line $c$ is $8cm$. Is it possible to split it through mathematics?

Need help with this

Answer 1

The triangles are well defined. For each you know all the angles (75,90,15) and (72,90,18). You can use the law of sines to get the side lengths when you know one side.

Answer 2

Basic observations-- Every triangle can be split into two right angle triangles. Your triangle is completely defined. There exists only one solution. Theorems to use-- Pythagoras, Sine and Cosine statements. Just make an equation and find a solution ;)