Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are of the corresponding sides of the first triangle.
Steps of construction:
i. Now in order to make a triangle, draw a line segment AB = 4 cm.
ii. Then, draw an arc at 5 cm from point A.
iii. From point B, draw an arc at 6 cm in such a way that it intersects the previous arc.
iv. Join the point of intersection from points A and B
v. This gives the required triangle ABC
vi. Now, divide the base in the ratio 2 : 3
vii. Draw a ray AX which is at an acute angle from AB.
viii. Then, plot three points on AX such that; AA1 = A1A2 = A2A3
ix. Join A3 to B.
x. Draw a line from point A2 parallel to A3B and intersects AB at point B’.
xi. Draw a line from point B’ that is parallel to BC intersecting AC at point C’.
Hence, triangle AB’C’ is the required triangle.