Construction of a Quadrilateral When Other Special Properties Are Known
Construct a r...
Question
Construct a rhombus ABCD where AC=6cm and BD=7cm.O is the intersection of the diagonals. Then the length of OC+OB is :
A
7 cm
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B
6 cm
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C
6.5 cm
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D
8 cm
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Solution
The correct option is C6.5 cm
1. Draw a diagonal AC=6cm.
2. Draw a perpendicular bisector of AC, let the perpendicular bisector and AC intersects at O (∵ Diagonals of rhombus intersects at right angle)
3. Taking O as centre and half of the length of another diagonal (i.e 3.5cm) as radius, mark arc on the perpendicular bisector at both sides of AC. Name these intersection points as B and D