Question
Construct a rectangle one of whose sides is 4 cm and the diagonal is of length 8 cm.
✓
Answer
First, draw a rough diagram
Step 1: The base CD measuring length 4 cm can be easily constructed.
Step 2: Draw a perpendicular to line DC at the point C. Let us call this line l.
Step 3: Draw an arc of radius 8 cm with point D as the center.
To locate the point B,
Step 4: Draw perpendiculars to DC and BC passing through D and B, respectively. The point where these lines intersect is the fourth point A.
It satisfies all conditions of the rectangle.
Step 1: The base CD measuring length 4 cm can be easily constructed.
Step 2: Draw a perpendicular to line DC at the point C. Let us call this line l.
Step 3: Draw an arc of radius 8 cm with point D as the center.
To locate the point B,
Step 4: Draw perpendiculars to DC and BC passing through D and B, respectively. The point where these lines intersect is the fourth point A.
It satisfies all conditions of the rectangle.
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