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

Options

A. laboratory method
B. inductive method
C. deductive method
D. lecture method

Explanation

To solve the question regarding the teaching method used by the teacher to explain the Pythagorean theorem, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Context**: The teacher has distributed sheets with four right-angled triangles drawn on them. The goal is to help students find the relationship between the sides of these triangles.

**Hint**: Identify the purpose of the teacher's action in distributing the sheets.

2. **Identifying the Teaching Method**: The teacher is not simply lecturing or explaining the theorem directly. Instead, he is encouraging the students to observe and analyze the triangles themselves.

**Hint**: Consider the difference between direct instruction and methods that promote discovery.

3. **Recognizing the Inductive Approach**: By allowing students to explore the triangles and derive the relationship between the sides (i.e., the Pythagorean theorem), the teacher is using an inductive method. This method involves observing specific examples to formulate a general rule or theorem.

**Hint**: Think about how students are deriving conclusions from specific instances rather than being given a theorem outright.

4. **Conclusion**: Since the teacher's approach encourages exploration and discovery of the theorem through observation of the triangles, the correct answer is the inductive method.

**Hint**: Reflect on the definitions of the different teaching methods provided in the options to confirm your choice.

### Final Answer:
The teacher used the **inductive method** (Option B) to teach the Pythagorean theorem.