Question

in the diagram, ( \triangle pmncong\triangle qsr ). if ( qr = 20 ) in., ( rs = 7 ) in., and ( sq = 24 ) in., what is ( pn )?
( 3 ) in.
( 7 ) in.
( 20 ) in.
( 24 ) in.
figure may not be drawn to scale.

Explanation:

Step1: Recall the property of congruent triangles

Congruent triangles have corresponding sides equal. Since \(\triangle PMN\cong\triangle QSR\), the corresponding sides are equal. That is \(PN = QR\), \(PM=QS\), \(MN = SR\).

Step2: Identify the corresponding side

We are asked to find \(PN\). From the congruence \(\triangle PMN\cong\triangle QSR\), the side \(PN\) corresponds to the side \(QR\).

Answer:

\(20\) in.