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.

Question

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

Manish Bharti · Accepted Answer

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 $Δ A B C$ 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 $Δ A B' C'$ is the required triangle

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.

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.