Question

Draw ∆ABC such that l(AB) = 4 cm, and l(BC) = 3 cm.

1. Can this triangle be drawn? 

2. A number of triangles can be drawn to fulfill these conditions. Try it out. 

3. Which further condition must be placed if we are to draw a unique triangle using the above information?

Answer 1

1. ∆ABC triangle cannot be drawn as length of third side is not given. 

2. For ∆ABC to draw l(AC) > l(AB) + l(BC) 

i.e., l(AC) > 4 + 3 

i.e., l(AC) > 7 cm 

∴ number of triangles can be drawn if l(AC) > 7 cm 

3. l(AC) > l(AB) + l(BC) is the required condition to draw a unique triangle.