Question
Construct a parallelogram $\text{ABCD},$ when:Base $BC = 5.6 \ cm,$ diagonal $BD = 6.5 \ cm$ and altitude $= 3.2 \ cm.$
✓
Answer
Steps:
$1$. Draw $BC =5.6 \ cm$.
$2$. At $C$, draw $CX$ perpendicular to $BC$.
$3.$ with $C$ as a centre and taking radius $3.2 \ cm$ to draw an arc to cut $C X$ at $Y.$
$4.$ Through $Y$ draw a straight line $PQ$ parallel to $BC.$
$5.$ With $B$ as a centre and radius, $6.5 \ cm$ draw an arc to meet $PQ$ at $D$.
$6.$ With $D$ as a centre and radius equal to $5.6 \ cm$, draw an arc to meet $PQ$ at $A.$
$7$.Join $BA, BD$ and $CD.$
$\text{ABCD}$ is the required parallelogram.
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