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.


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