Question

by gemotrical construction divide a line segment of length 6cm in the ratio√2:1/√2

Answer 1

Answer is in the photo below this

Answer 2

$AY:BY=2:1$ of $6cm$ line.

Step-by-step explanation:

Given,

Geometrical construction divide a line segment of length $6cm$ in the ratio $\frac{\sqrt{2} }{\frac{1}{\sqrt{2} } }$

∵ $\frac{\sqrt{2} }{\frac{1}{\sqrt{2} } }=\frac{\sqrt{2}\times \sqrt{2}  }{1} =\frac{2}{1}$

Divide a line segment of length $6cm$ in the ratio $2:1$

Following steps:

• Draw a line segment $AB=6cm$
• Draw an angle $45°$ at point $A$ like $\angle BAX=45°$
• Divide line $AX$ with three equal parts.

• Name as $x_{1} ,x_{2} and x_{3}$

• Join $x_{3}$ and $B$  
• Make a line parallel with $Bx_{3}$ through point $x_{2}$ which cuts line $AB$ at $Y$

∴ $AY:BY=2:1$ of $6cm$ line.