Question

A triangle has angles measuring 30 degrees and 90 degrees the length of the included side is 6cm. tell whether the conditions form a unique triangle, more than one triangle, or no triangle?

Answer 1

Angle 1 = 30°
Angle 2 = 90°
⇒ Angle 3 = 60°
So, it's right triangle. We can set the length of one side and get all other sides.
So, we have 1 triangle. If there are 2 or more triangles with the same data, all the triangles will be congruent because of : Two triangles are congruent if "ASA: Two interior angles and the included side in a triangle have the same measure and length, respectively, as those in the other triangle."