One Two or No Triangle?

The video tutorial explores the properties of triangles, focusing on angles and side lengths. It explains how to determine the height of a triangle using trigonometry, specifically the sine function. The tutorial discusses conditions under which a triangle can exist based on its side lengths and height. It also examines the possibility of multiple triangles existing when rotating a triangle, concluding that only one triangle can exist under certain conditions.

What is the relationship between the angle and the side lengths in a triangle?

How can you determine the height of a triangle using trigonometry?

Explain why a triangle cannot exist if one side is shorter than the height.

What conditions must be met for two triangles to exist in the given scenario?

Why is it concluded that only one triangle exists in the discussed case?