Question

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

Answer 1

Answer:

let sides be 2x,3x,4x

given, 2x+3x+4x=14.4

x=14.4/9=1.6

therefore, 2x=3.2 ,3x=4.8,4x=6.4

Answer 2

Answer:

3.2  ,  4.8  , 6.4  cm

Step-by-step explanation:

Let say Sides of Triangle

are 2x , 3x  , 4x

Perimeter = 2x + 3x + 4x = 9x

9x = 14.4

=> x = 1.6

Sides of Triangle =  3.2  ,  4.8  , 6.4  cm

Step 1 :  Draw a Line Segment = 6.4 cm using Ruler

Step 2 : using Compass draw an arc of radius 3.2 cm . taking one end of line segment drawn as cenetr

Step 3 : Now taking another end of line segment & radius = 4.8 cm , draw an arc such that it intersect 1st arc

Step 4 : join arc intersection points with both the ends of 1st line segment