Question 4Draw an isosceles triangle ABC in which AB=AC = 6 cm and BC=5 cm Construct a triangle PQR similar to ΔABC in which PQ = 8 cm, Also justify the construction.Thinking process(i)Here, for making two similar triangles with one vertex is base We assume that In ΔABC and ΔPQR, vertex B = vertex Q.(ii) In ΔABC and ΔPQR, vertex B = vertex Q.So, we get the required scale factor.Now, construct a ΔABC and then a ΔPBR, similar to ΔABC whose sides are PQAB of the corresponding sides of the ΔABC.

Question 4Draw an isosceles triangle ABC in which AB=AC = 6 cm and BC=

1.	Question 4Draw an isosceles triangle ABC in which AB=AC = 6 cm and BC=5 cm Construct a triangle PQR similar to ΔABC in which PQ = 8 cm, Also justify the construction.Thinking process(i)Here, for making two similar triangles with one vertex is base We assume that In ΔABC and ΔPQR, vertex B = vertex Q.(ii) In ΔABC and ΔPQR, vertex B = vertex Q.So, we get the required scale factor.Now, construct a ΔABC and then a ΔPBR, similar to ΔABC whose sides are PQAB of the corresponding sides of the ΔABC.
Answer» Question 4 Draw an isosceles triangle ABC in which AB=AC = 6 cm and BC=5 cm Construct a triangle PQR similar to $Δ A B C$ in which PQ = 8 cm, Also justify the construction. Thinking process (i)Here, for making two similar triangles with one vertex is base We assume that In $Δ A B C$ and $Δ P Q R$ , vertex B = vertex Q. (ii) In $Δ A B C$ and $Δ P Q R$ , vertex B = vertex Q. So, we get the required scale factor. Now, construct a $Δ A B C$ and then a $Δ P B R$ , similar to $Δ A B C$ whose sides are $\frac{P Q}{A B}$ of the corresponding sides of the $Δ A B C$ .