Question

Length of sides of a $△ABC$ is $AB=5cm$, $AC=3cm$ and $BC=4cm$. If the construction of the triangle formed by these three sides includes the following steps, then answer the following question:

Which of the following is the 3rd step of construction?

Steps of construction:

Step $1:$ Now join $A$ to $C$ and $B$ to $C$.

Step $2:$ Assuming $A$ a centre draw an arc of radius $3cm.$

Step $3:$ Draw a line segment $AB=5cm.$

Step $4:$ Now assuming $B$ as centre draw an arc of $4cm.$ intersecting the previous arc at $C.$

• A. $1$
  
• B. $2$
  
• C. $3$
  
• D. $4$
  

Answer 1

The correct option is D $4$

Steps of construction:

Step $1:$ Draw a line segment $AB=5cm$

Step $2:$Assuming $A$ a centre draw an arc of radius $3cm.$

Step $3:$. Now assuming $B$ as centre draw an arc of $4cm.$ intersecting the previous arc at $C$.

Step $4:$ Now join $A$ to $C$ and $B$ to $C$.

Hence, option $D$ will be correct.