Question

Construct a rectangle ABCD, when :

One diagonal = 6.0 cm and the acute angle between the diagonals = ${45}^{\circ }$.

Answer 1

$Stepsofconstruction:$

$Step1:$ Draw a line segment $AC$ of length $6cm$

$Step2:$ Mark the mid point as $O$

$Step3:$ With $O$ as center Draw a ray of Angle $45$ degrees ,Extend it on both the sides

$Step4:$ With $O$ as center Draw an arc of radius $3cm$ on both the sides

$Step5:$ Mark the intersections as $A$ and $D$ respectively and Join them