Question

Draw perpendicular to the line of length $9$ cm so that the perpendicular divides the line in the ratio $1:2$. Then length of the line on the left will be :

• A. $3$ cm
• B. $4$ cm
• C. $5$ cm
• D. $6$ cm

Answer 1

The correct option is A $3$ cm

Draw a line say $B$ of length $9$ cm using a rule

Now we have to divide the line in $1:2$.

Let the length of left part be $x$ then length of right part is $2x$

$\Rightarrow x+2x=9$

$\Rightarrow 3x=9$

$\Rightarrow x=\frac{9}{3}=3$ cm

So, the lenght of left part is $3$ cm

So, option A is correct.