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Quadrilaterals — Class 8 solved problems

3 problems from this chapter, each solved step by step.

  1. In quadrilateral ABCD, A is a right angle, AB=(5)/(3), BC=8, CD=6, and AD=5. Are points A, B, C, D concyclic?

    No, the points A, B, C, D are not concyclic.

  2. In parallelogram ABCD, BAD=60^°, AB=6, and diagonal AC=6(1)/(3). Find the area of ABCD.

    (-9√3 + √354) square units

  3. In parallelogram ABCD, the diagonals intersect at O. Given AC = 10, BD = 18, and AD = 12, find the perimeter of triangle BOC.

    The perimeter of triangle BOC is 26 units.

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