Question

Construct ∆PYQ such that, PY = 6.3 cm, YQ = 7.2 cm, PQ = 5.8 cm. If $\frac{\mathrm{YZ}}{\mathrm{YQ}}=\frac{6}{5},$ then construct ∆XYZ similar to ∆PYQ.

Answer 1

Steps of Construction:

Step 1: Draw ∆PYQ such that PY = 6.3 cm, YQ = 7.2 cm and PQ = 5.8 cm.

Step 2: Divide segment YQ into 5 equal parts.

Step 3: Mark point Z on ray YQ such that length of YZ is six times of each part of segment YQ.

Step 4: Draw a line parallel to side QP, through Z. Name the point where the parallel line intersects ray YP as X.



Here, ∆PYQ ~ ∆XYZ.