1.

A parallelogram has sides of 15 cm and 12 If the distance between the 15 cm sides is 6 cm, find the distance between 12 cm sides.

Answer» With the given details, we can create a diagram.
Please refer to video for the diagram.
Here, we are given,
`AB = CD = 12` cm
`BC = AD = 15` cm
Now, in `Delta ABE and Delta CBF`
`/_BAE = /_BCF ` (opposite angles of parallelogram are equal)
`/_AEB = /_BFC = 90^@`
So, `Delta ABE ~ Delta CBF`
`:. (AB)/(BE) = (CB)/(BF)`
`=> 12/6 = 15/(BF) => BF = 15/2`
`=>BF = 7.5` cm
So, distance between `12` cm sides is `7.5cm`.


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