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.

Give the justification of the construction.

Steps for construction-

1. Draw a line segment AB of 5cm.

2. Taking A and B as center, draw arcs of 6cm and 7cm radius respectively. Let these arcs intersect at point C.

3. Join AC and BC.

4. is the required triangle.

5. Draw a ray AX making acute angle with line AB on opposite side of vertex C.

6. Locate 7 points A1, A2, A3, A4, A5, A6 and A7 on line AX such that AA1=AA2, AA2=AA3, AA3=AA4,

AA4=AA5, AA5=AA6, AA6=AA7.

7. Join BA5 and draw a line through A7 parallel to BA5 to intersect extended line segment AB at point B'.

8. Draw a line through B' parallel to BC intersecting the extended line segment AC at C'.

9. is the required triangle.

**
**