Question
Construct a square $\text{ABCD}$, when: One diagonal $= 5.4 \ cm.$
✓
Answer
We know that the diagonals of a square are equal and bisect each other at right angles.
Steps:
$1.$ draw $A C=5.4\ cm$.
$2.$ Draw the right bisector $X Y$ of $A C$, meeting $A C$ at $O$.
$3.$ From $O$, set off $O B=\frac{1}{2}(5.4)=2.7\ cm$ along $O Y$ and along $O X$.
$4$. Join $A B, B C, C D$, and $D A$.
$\text{ABCD}$ is the required square.
Steps:
$1.$ draw $A C=5.4\ cm$.
$2.$ Draw the right bisector $X Y$ of $A C$, meeting $A C$ at $O$.
$3.$ From $O$, set off $O B=\frac{1}{2}(5.4)=2.7\ cm$ along $O Y$ and along $O X$.
$4$. Join $A B, B C, C D$, and $D A$.
$\text{ABCD}$ is the required square.
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