Mathematics: It is known that two sides of a triangle are 1cm and 2cm respectively, and an inner angle is 4 degrees. Can you draw a picture that satisfies both the conditions of the topic and each oth

Mathematics: It is known that two sides of a triangle are 1cm and 2cm respectively, and an inner angle is 4 degrees. Can you draw a picture that satisfies both the conditions of the topic and each other?

Solution:

In the first case, you can draw two triangles that satisfy the conditions and are not equal to each other (as shown in the figure)

In the second case, the drawn triangles are unique.

This can be explained according to congruent triangles's proof condition. In the second case, two corresponding angles are equal, plus one corresponding edge is equal, and two triangles are congruent, which is unique.

in the first case, unless the angle of 4 degrees is the specified angle between 1cm and 2cm, which conforms to the theorems of S, A and S, then the drawn triangle is unique; otherwise, the two triangles may be unequal, that is, two different triangles can be drawn.