Question

Construct a $△ABC$ in which $AB=6cm$, $\angle A={30}^{\circ }$ and $\angle B={60}^{\circ }$. Construct another $△A{B}^{\prime }{C}^{\prime }$ similar to $△ABC$ with base $A{B}^{\prime }=8cm$.

Answer 1

Steps:

1. Draw a line $AB$ of length $6cm$.

2. Make an angle of ${30}^{\circ }$ at $A$ and extend the line from $A$ making this angle.

3. Make an angle of ${60}^{\circ }$ at $B$ and extend the line from $B$ making this angle till it meets the line from step $2$ at point $C.$

Hence, we got the $△ABC$

Now,

4. Extend the line $AB$ to $B^{\prime }$, such that $A{B}^{\prime }=8cm$.

5. Make an angle of ${60}^{\circ }$ at $B^{\prime }$ and extend the line from $B^{\prime }$ making this angle till it meets the line from step $2$ at point $C^{\prime }$.

Hence, we got the $△A{B}^{\prime }{C}^{\prime }$