The line joining the mid points of the diagonals of a trapezium has length $3$ cm. If the longer base is $97$ cm then the shorter base is:

94

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92

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91

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90

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Solution

The correct option is C $91$ cm
The line joining the mid point of the diagonals of a trapezium is half the length of the difference between the two sides.
Let the smaller side be $x$
Then, $3 = \frac{97 - x}{2}$
$6 = 97 - x$
$x = 91$ cm

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The line joining the mid points of the diagonals of a trapezium has length 3cm. If the longer base is 97cm then the shorter base is:

The correct option is C 91cmThe line joining the mid point of the diagonals of a trapezium is half the length of the difference between the two sides.Let the smaller side be xThen, 3=97−x26=97−xx=91 cm

The line joining the mid points of the diagonals of a trapezium has length $3$ cm. If the longer base is $97$ cm then the shorter base is:

The correct option is C $91$ cm
The line joining the mid point of the diagonals of a trapezium is half the length of the difference between the two sides.
Let the smaller side be $x$
Then, $3 = \frac{97 - x}{2}$
$6 = 97 - x$
$x = 91$ cm