Question:
Draw a right ΔABC in which BC = 12 cm, AB = 5 cm and ∠B = 90°.Construct a triangle similar to it and of scale factor Is the new triangle also a right
triangle?
Solution:
Steps of construction
-
- Draw a line segment BC = 12 cm,
- From 6 draw a line AB = 5 cm which makes right angle at B.
3. Join $A C, \triangle A B C$ is the given right triangle.
4. From $B$ draw an acute $\angle C B Y$ downwards.
5. On ray BY, mark three points $B_{1}, B_{2}$ and $B_{3}$, such that $B B_{1}=B_{1} B_{2}=B_{2} B_{3}$.
6. Join $B_{3} C$.
7. From point $B_{2}$ draw $B_{2} N \| B_{3} C$ intersect $B C$ at $N$.
8. From point $N$ draw $N M \| C A$ intersect $B A$ at $M . \triangle M B N$ is the required triangle. $\triangle M B N$ is also a right angled triangle at $B$.