Question
Construct a parallelogram $ABCD$ in which $AB = 6.5\ cm, AC = 3.4\ cm$ and the altitude $AL$ from $A$ is $2.5\ cm.$ Draw the altitude from $C$ and measure lt.
✓
Answer
Steps of construction:
Step 1: Draw $AB = 6.5\ cm.$
Step 2: Draw a perpendicular at point $A.$ Name that ray as $AX$. From point $A,$ draw an arc of length $2.5\ cm,$ on the ray $AX$ and name that point as $L.$
Step 3: On point $L,$ make a perpendicular. Draw a straight line $YZ$ passing through $L,$ which is perpandicular to the ray $AX.$
Step 4: Cut an arc of length $3.4\ cm$ on the line $YZ$ and name it as $C.$
Step 5: From point $C,$ cut an arc of length $6.5\ cm$ on the line $YZ.$ Name that point as $D.$
Step 6: Join $BC$ and $AD.$
Therefore, quadrilateral $ABCD$ is a parallelogram.
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