Q3 of 14 Page 56

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

Given: perimeter of Δ = 14.4cm and ratio of its sides = 2:3:4

Steps of construction:


i: Draw B’C’ = 9cm



ii: Then divide B’C’ in the ratio 2:3:4. B’B:BC∷CC’ = 2:3:4 (by similarity of triangles)



iii: Now construct AB = B’B.



iv: Construct AC = CC’.



v: Hence, AB:BC:AC = 2:3:4



vi: Hence, Δ ABC is the required triangle.


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