The perimeter of a triangle is 14.4 cm and the ratio of lengths of its side is 2 : 3 : 4. Construct the triangle.
Steps of construction:
1: A line AB = 14.4 cm is drawn.
2: Darw a ray AC making an acute angle at A in the downward direction. Then, divid it into (2 + 3 + 4) = 9 parts.
3: Join B and A9.
4: Draw a line parallel to BA9 at A2 and A5 intersecting AB at X and Y respectively..
5: With X as centre and XA as radius, draw an arc.
6: With Y as centre and YB as radius, draw an arc cutting the previous arc at Z.
7: Join XZ and YZ.
Hence, △XYZ is the required triangle.