Question

Construct a square whose diagonal is $5cm$ in length. Then the length of the side of the square is:

• A. $4.2cm$
• B. $5cm$
• C. $3.5cm$
• D. $7cm$

Answer 1

The correct option is C $3.5cm$

We know that all side square ABCD are equal

So let $AB=x$ and $BC=x$

Triangle ABC is a right angled triangle

so $A{B}^2$ + $B{C}^2$ = $A{C}^2$

Given $AC=5$ cm and $AB=BC=$ $x$

$x^2$ + $x^2$ $=5^2$

From this equation we get $x=3.54$

So correct answer is Option C