Part 2/6:
For instance, if you have two triangles where one is a smaller version of the other, the ratios of their corresponding sides will be equal. This fundamental principle lays the groundwork for employing trigonometric functions and the Pythagorean theorem in simpler forms.
Example of Similar Triangles in Action
To illustrate the application of similar triangles, a scenario was presented involving two triangles sharing a common angle, θ. Let's assume you have a smaller triangle with one side measuring 2 and an unknown length, 'a,' while the larger triangle has sides of 2 and 4. In this case, you could use the tangent function, which states that:
tan(θ) = opposite / adjacent.