# Class 10 Maths Lab Activity: To verify the distance formula by graphical method

**OBJECTIVE**:

To verify the distance formula by graphical method.

**MATERIAL REQUIRED:**

Cardboard, chart paper, graph paper, glue, pen/pencil and ruler.

**METHOD OF CONSTRUCTION**

1. Paste a chart paper on a cardboard of a convenient size.

2. Paste the graph paper on the chart paper.

3. Draw the axes X'OX and Y'OY on the graph paper.

4. Take two points A(a, b) and B(c,d) on the graph paper and join them to get a line segment AB [see Figure].

**DEMONSTRATION**

1. Calculate the distance AB using distance formula.

2. Measure the distance between the two points A and B using a ruler.

3. The distance calculated by distance formula and distance measured by the ruler are the same.

**OBSERVATION**

1. Coordinates of the point A are ____ (2,4)____.

Coordinates of the point B are _____ (-6, -2)______.

2. Distance AB, using distance formula is ____ 10 units___.

___________________ AB = √(x₂ - x₁)² + (y₂ - y₁)² _________________ = √(-6-2)² + (-2-4)² ______________ AB = √(-8)² + (-6)² ________ ________ = √ 64 + 36 = √ 100 AB = 10 units

_____.__

**10 units**___.__

**same****APPLICATION**

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