Question
Construct a rectangle $\text{ABCD}$ with one diagonal $AC = 5.8\ cm$ and the acute angle between the diagonals is equal to $45^\circ .$
✓
Answer
Steps of Construction:
$1)$ Draw $A C=5.8 \ cm$ and locate its mid$-$point $O$.
$2)$ Draw line $\text{BOD}$ such that $\angle DOC =45^{\circ}$ and $OB = OD =\frac{1}{2} BD =\frac{1}{2} \times 5.8 \ cm =2.9 \ cm$.
$3)$ Join $A B, B C, C D$ and $D A$.
$4)\text{ABCD}$ is the required rectangle.
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