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 answer is inductive method.

Explanation:

The inductive method of teaching moves from specific examples to general rules or formulas. In this approach, students observe multiple concrete examples, analyze patterns, and draw a generalized conclusion based on their observations.

In the given situation:

1. The teacher provides four specific examples of right-angled triangles on a sheet.
2. The students are asked to observe these specific instances and explore the relationship between the sides of each triangle.
3. By observing the pattern across all four triangles, the students deduce/formulate the general principle (the Pythagorean theorem: $a^2+b^2=c^2$).

Since the learning process proceeds from particular/specific cases to a general rule, the teacher is using the inductive method.