Draw a right ∆ABC in which BC=12 cm, AB=5 cm and ∠B=90°. Construct a triangle similar to it and of scale factor 2/3. Is the new triangle also a right triangle?

Steps of construction


1. Draw a line BC=12 cm.



2. Draw a line AB=5 cm



3. Join AC.



4. Draw an acute CBY downwards.



5.On ray BY, mark three-point B1, B2, and B3,


BB1=B1B2 =B2B3


6. Join B3 C


7. Draw B2N||B3C intersect BC at N.


8. Draw NM||CA intersect BA at M.


∆MBN is the required triangle.


Hence, ∆MBN is also a right-angled triangle at B.



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