Question

gram npqr if rp=16 find rs.

Explanation:

Step1: Recall properties of parallelograms

In a parallelogram, the diagonals bisect each other. So, in parallelogram \(NPQR\), the diagonals \(NR\) and \(PQ\) (wait, actually the diagonals are \(NP\) and \(QR\)? Wait, no, looking at the diagram, the diagonals are \(NR\) and \(PQ\)? Wait, no, the vertices are \(N\), \(P\), \(Q\), \(R\). So the diagonals are \(NQ\) and \(PR\). Wait, the points: \(P\), \(Q\), \(R\), \(N\) form a parallelogram, so \(PR\) and \(NQ\) are diagonals, intersecting at \(S\). In a parallelogram, diagonals bisect each other, so \(S\) is the midpoint of \(PR\). So \(RS=\frac{1}{2}RP\).

Step2: Calculate RS

Given \(RP = 16\), then \(RS=\frac{16}{2}=8\).

Answer:

\(8\)