CBSE Class 10 Answered

Steps of construction:

(i) Draw a ABC with side AB = 6 cm, BC = 5 cm and ABC = 60^o.

(ii) Draw a ray AX making an acute angle with AB on the opposite side of vertex C.

(iii) Locate 7 points, A₁, A₂, A₃, A₄ A₅, A₆, A₇ (as 7 is greater between 5and 7), on line AX such that AA₁ = A₁A₂ = A₂A₃ = A₃A₄ = A₄A₅ = A₅A₆ = A₆A₇.

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

(v) Draw a line through B' parallel to BC intersecting the extended line segment AC at C'. AB'C' is the required triangle.

OR

Steps of construction:

(i) Draw a ABC with side BC = 6 cm, AB = 5 cm and ABC = 60^o.

(ii) Draw a ray BX making an acute angle with BC on the opposite side of vertex A.

(iii) Locate 4 points (as 4 is greater in 3 and 4), B₁, B₂, B₃, B₄, on line segment BX such that BB₁ = B₁B₂ = B₂B₃ = B₃B₄.

(iv) Join B₄C and draw a line through B₃, parallel to B₄C intersecting BC at C'.

(iv) Draw a line through C' parallel to AC intersecting AB at A'. A'BC' is the required triangle.