Question

Draw a line segment of length 5.5cm divide it internally in the ratio 2:3 what is the length of each part

Answer 1

Answer:

2.2cm and 3.3cm

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Answer 2

The internal division of 2:3 of line segment is attached.

On measurement AC= 2.2 cm and CB= 3.3 cm

Given:

• A line segment of 5.5 cm.

To find:

• Divide it internally in the ratio 2:3.
• What is the length of each part ?

Solution:

Concept to be used:

Make an acute angle with line segment and do equal parts total of both ratios.

Steps of construction:

1. Draw a line segment of 5.5 cm with the help of pencil and scale,say it is AB.
2. Draw an acute angle below AB. let say it is AX.
3. Make 5 (2+3) equal segments of AX.
4. Draw $A_5B$, i.e. meet point $A_5$ with B.
5. Measure the $\angle AA_5B$, (it is 62°) with the help of protector or compass.
6. Make that same angle at $A_2$, i.e.$\angle AA_2C=62^{\circ}$ .Thus, $A_2C$ should be parallel to $A_5B$.
7. The point C divides the line segment AB in 2:3.

Verification:

On measurements it is found that

AC= 2.2 cm

and

CB= 3.3 cm

Thus,

AC:CB= 2:3

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Learn more on construction:

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