Question

write a similarity statement.
△ ~ △

Explanation:

Step1: Calculate the ratio of the sides

We have two sides of one triangle \(35\) and \(56\), and two sides of the other triangle \(30\) and \(48\).
The ratio of the first pair of sides: \(\frac{35}{30}=\frac{7}{6}\)
The ratio of the second pair of sides: \(\frac{56}{48}=\frac{7}{6}\)

Step2: Check the included angle

We are given that \(\angle H\) and \(\angle R\) are the included angles between the pairs of sides. Since the ratios of the sides are equal and the included angles are marked as equal (by the red arc), by the SAS (Side - Angle - Side) similarity criterion, the triangles are similar.

Step3: Write the similarity statement

Corresponding sides: \(JH\) corresponds to \(TR\), \(JH = 35\), \(TR=30\); \(HH\) (assuming the other side adjacent to \(\angle H\)) corresponds to \(RR\) (assuming the other side adjacent to \(\angle R\)), \(56\) corresponds to \(48\). So \(\triangle JH\sim\triangle TR\) (the order of the letters is based on the correspondence of the sides and the included angle)

Answer:

\(\triangle JH\sim\triangle TR\)