Question

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

Answer 1

Step 1 : Draw $\Delta PYQ$ such that $PY=6.3cm,YQ=7.2cm,$ and $PQ=5.8cm$

Step 2 : Divide segment YQ into $5$ equal parts

Step 3 : Mark point Z on ray YW such that length of YX 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, $\Delta PYQ\sim \Delta XYZ$