construct the rectangle abcd given that diagonal intersect at angle of 37 degree that AC=6 cm
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STEP FOR CONSTRUCTION
Answer:
1. Draw line segment BD = 6 cm
2. Draw a perpendicular bisector PQ of the line segment BD intersecting BD at point O.
3. Draw a line XY passing through point O making an angle 40° with BD.
4. Diagonals of a rectangle bisect each other.
Hence,
take O as the centre and radius = 3 cm, cut two arcs on both sides of point O cutting line XY at points A and C.
5. Join AB, CD, BC and AD.
6. ABCD is the required rectangle.
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