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

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."

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse