# The question is below?

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Let ABCD be a rhombus with AC and BD as diagonals of length 16 and 30 respectively. Let N be a point on AB, and let P and Q be feet of perpendiculars from N to AC and BD, respectively. Then what is the minimum value of PQ?

Let ABCD be a rhombus with AC and BD as diagonals of length 16 and 30 respectively. Let N be a point on AB, and let P and Q be feet of perpendiculars from N to AC and BD, respectively. Then what is the minimum value of PQ?

##### 1 Answer

Let ABCD be rhombus having diagonals

Now

When ON is perpendicular to AB for minimum of PQ, the area of

Otherwise the area of

Equating these two areas we get