Question

∆PQR ~ ∆LTR. In ∆PQR, PQ = 4.2 cm, QR = 5.4 cm, PR = 4.8 cm. Construct ∆PQR and ∆LTR, such that $\frac{\mathrm{PQ}}{\mathrm{LT}}=\frac{3}{4}.$

Answer 1

Steps of Construction:

Step 1: Draw ∆PQR such that PQ = 4.2 cm, QR = 5.4 cm and PR = 4.8 cm.

Step 2: Divide segment RQ into 3 equal parts. Fix point T on ray RQ such that length of RT is 4 times of each equal part of segment BC.

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


Here, ∆PQR ~ ∆LTR.