Triangle Congruence Constructions

Side lengths

Given the lengths of three different sides shown in the applet window, construct at least two triangles using the side lengths, then find the length of each side and the measure of each angle to determine if the two triangles are congruent.

Are the triangles created with this information guaranteed to be congruent?

Side lengths and angles

Given the lengths of two different sides and their included angle shown in the applet window construct at least two triangles using the given information, then find the length of each side and the measure of each angle to determine if the two triangles are congruent.

Are the triangles created with this information guaranteed to be congruent?