To teach the Pythagoras theorem, a teacher has distributed a sheet on which four right-angled triangles were drawn and asks the child to find the relationship between the sides of a triangle.

In the above situation, the teacher used—

The correct option is inductive method.

Explanation:

The inductive method of teaching is an approach where learning proceeds from specific examples to general rules, formulas, or principles. In this method, students observe specific instances, analyze patterns, and arrive at a generalized concept on their own.

In the given situation:

1. The teacher provides four specific right-angled triangles (specific examples).

2. The students measure/examine the sides of these specific triangles to discover the underlying pattern or relationship between the sides.

3. Based on their observations across these examples, the students generalize the principle, which leads to the formulation of the Pythagorean theorem ($a^2+b^2=c^2$).

Since the learning moves from concrete examples to abstract generalization, the teacher is using the inductive method.