Draw a line segment $AB$ and by ruler and compasses, obtain a line segment of length $\frac{3}{4}(AB)$.

Given:

To do:

We have to draw a line segment $AB$ and by ruler and compasses, obtain a line segment of length $\frac{3}{4}(AB)$.

Solution:

Steps of construction:

(i) Draw a line segment $AB$.

(ii) Draw a ray $AX$ making an acute angle with $A_3$ and 4 equal parts at $A_1, A_2, A_3$ and $A_4$.

(iii) Join $A_4B$.

(iv) From $A_3$, draw a line parallel to $A_4B$ which meets $AB$ at $C$.

$C$ is the required point and $AC = \frac{3}{4}(AB)$.

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Updated on: 10-Oct-2022

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