Inequalities in Triangles
We are given two triangles ACB and DFE.
The tick marks on both triangles indicate that:
AC is congruent to DF
CD is congruent to FE
Note that the length of DE is 21 cm and it's opposite to an angle of 41°.
AB is opposite to an angle of 85° and is formed by two sides that are congruent to the corresponding sides of the other triangle.
This means that AB > DE
Or:
AB > 21 cm
The only choice that has a side length greater than 21 cm is 28, thus:
Answer: 28 cm