Question

Steps for the construction of a triangle ABC whose perimeter is 12cm and ratio of the sides is 2:3:4 is given below. Choose the correct order.
1.Mark point L,M,N on XZ such that XL=2cm, LM= 3 parts and MN= 4 parts
2.Join NY. Through L and M draw LB||NY and MC||NY , intersecting XY in B and C respectively.
3.Draw a line segment and locate points X and Y such that XY=12cm
4.Draw a ray XZ makes an acute angle XY and drawn in the downward direction
5.With B as centre and BX as radius draw an arc ; with C as centre CY as radius , draw an arc cutting the previous arc at A. Join AB and AC
6.From X, locate (2+3+4) =9 points at equal distance along XZ.

• A. 1,2,3,4,5,6
• B. 3,4,6,5,2,1
• C. 3,2,4,1,6,5
• D. 3,4,6,1,2,5

Answer 1

The correct option is D 3,4,6,1,2,5

Steps for the construction of a triangle ABC whose perimeter is 12cm and ratio of the sides is 2:3:4 is given below.

1.Draw a line segment and locate points X and Y such that XY=12cm
2..Draw a ray XZ makes an acute angle XY and drawn in the downward direction
3.From X, locate (2+3+4) =9 points at equal distance along XZ
4.Mark point L,M,N on XZ such that XL=2cm, LM= 3 parts and MN= 4 parts
5.Join NY. Through L and M draw LB||NY and MC||NY , intersecting XY in B and C respectively.
6.With B as centre and BX as radius draw an arc ; with C as centre CY as radius , draw an arc cutting the previous arc at A. Join AB and AC