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If the non-parallel sides of a trapez...

If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

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If two non-parallel sides of a trapezium are equal; it is cyclic.

If two non-parallel sides of a trapezium are equal; it is cyclic.

Knowledge Check

  • Find the distance between the two parallel sides of a trapezium if the area of the trapezium is 500 sq m and the two parallel sides are equal to 30 m and 20 m, respectively.

    A
    20 cm
    B
    15 cm
    C
    18 cm
    D
    25 cm

    • Similar Questions

    Explore conceptually related problems

    Consider the following statements : 1. If non-parallel sides of a trapezium are equal, then it is cyclic. 2. If the chord of a circle is equal to its radius, then the angle subtended by this chord at a point in major segment is 30^@ . Which of the above statements is/are correct?

    If two non-parallel sides of a trapezium are equal,it is cyclic.OR An isosceles trapezium is always cyclic.

    The opposite sides of a trapezium are parallel.

    E and F are respectively the midpoints of the non-parallel sides AD and BC of a trapezium ABCD. Prove that (i) EF||AB, (ii) EF=(1)/(2) (AB+CD).

    If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

    Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

    A circle is inscribed in a trapezium in which one of the non-parallel sides is perpendicular to the two parallel sides. Then A) the diameter of the inscribed circle is the geometric mean of the lengths of the parallel sides B) the diameter of the inscribed circle is the harmonic mean of the lengths of the parallel sides C) the area of the trapezium is the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium D) the area of the trapezium is half the area of the rectangle having lengths of its sides as the lengths of the parallel sides of the trapezium

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