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Is it possible to construct a …

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Is it possible to construct a rhombus ABCD where AC=6cm and BD=7cm?justify your answer.
  • 1 answers
ANSWER 1. Draw a diagonal AC=6 cm. 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 3.5 cm) as radius, mark arc on the perpendicular bisector at both sides of AC. Name these intersection points as B and D 4. Join AB,AD,BC,CD. 5. ABCD is the required rhombus. 6. Measure the ∠ABD which come out to be 40.7˚ 
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