Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle 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 = 5 cm.
ii. From point A, draw an arc at 6 cm
iii. Draw an arc at 7 cm from point B intersecting the previous arc.
iv. Join the point of intersection from A and B.
Hence, this gives the required triangle ABC
v. Dividing the base, draw a ray AX which is at an acute angle from AB
vi. Plot seven points on AX such that:
AA1 = A1A2 = A2A3 = A3A4 = A4A5 = A5A6 = A6A7.
vii. Join A5 to B.
viii. Draw a line from point A7that is parallel to A5B and joins AB’ (AB extended to AB’).
ix. Draw a line B’C’ || BC.
Hence, triangle AB’C’ is the required triangle.