The perimeter of a triangle is 14.4 cm and the ratio of lengths of its side is 2 : 3 : 4. Construct the triangle.

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Solution

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.

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