Question

Draw a line segment of length 7.6 cm and divide it in the ratio 5 : 8. Measure the two parts.

Answer 1

Divide a line segment of 7.6 cm length in the ratio 5 : 8 and measure. 

m : n = 5 : 8 

m + n = 5 + 8 = 13 

AC : CB = 5 : 8. 

by measurement: AC = 3cm, CB = 4.6cm.

Steps of Construction: 

1. Draw any ray AB, such that AB = 7.6 cm. 

2. Draw Ax ray at point A making acute angle. 

3. Locate the points A₁, A₂, A₃, ………., A₁₃ from A. 

4. Join BA₁₃. 

Draw BA₁₃ || A₅C. 

Now, AC : CB = 5 : 8 

If measured, AC = 3 cm, CB = 4.6 cm.