Question
Construct a parallelogram $\text{ABCD},$ when:Base $AB = 6.5 \ cm, BC = 4 \ cm$ and the altitude corresponding to $AB = 3.1 \ cm.$
✓
Answer
Steps :
$1.$ Draw $A B=6.5 \ cm$.
$2. $At $B$, draw $BP \perp AB$.
$3.$ From $B P$ cut $B E=3.1 \ cm$.
$4.$ Through $E$ draw a perpendicular to $BP$ to get $QR$ parallel to $AB$.
$5.$ With $B$ as a center and radius $=A C=4 \ cm$, draw an arc that cuts $Q R$ at $C.$
$6.$ With $A$ as a center and radius $= AD =4 \ cm$, draw an arc that cuts $QR$ at $D.$
$\text{ABCD}$ is the required parallelogram.
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