Step-by-step explanation:
when 2 triangles are similar, it means that both have the same angles. and that then all the corresponding side lengths relate to each other by the same multiplication factor.
PQ and ST are corresponding sides.
the length of ST (4) is the length of PQ (16) multiplied by 1/4.
16 × 1/4 = 4.
the same factor (1/4) also applies to the other sides.
and therefore,
TU = QR × 1/4 = 19.2 × 1/4 = 19.2/4 = 4.8
