$Δ P Q R \sim Δ L T R$ .
In $Δ P Q R, P Q = 4.2 c m, Q R = 5.4 c m, P R = 4.8 c m$ .
Construct $Δ P Q R a n d Δ L T R$ such that $\frac{P Q}{L T} = \frac{3}{4}$

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Solution

1. Draw $△ P Q R$ such that $P Q = 4.2 c m, Q R = 5.4 c m, R P = 4.8 c m$

2. Divide segment RQ into 3 equal parts. Mark point T on RQ such that length of RT is 4 times of each equal segemnt.

3. Draw a line parallel to side PQ, through T. The point of intersection of the line and ray RP is L.

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