Question

Which additional statement would be profficient to prove that triangle ABC equals triangle DEF?

Answer 1

The correct answer is option D;

AB = 28

Observe triangle ABC has sides

AC = 36 and BC = 32

These are shown in triangle DEF in the ratio,

4 : 3 and therefore the ratio of the sides in both triangles are

`\begin{gathered} (AC)/(DF)=(BC)/(EF)=(AB)/(DE) \\ (36)/(27)=(32)/(24)=(AB)/(21) \\ (4)/(3)=(AB)/(21) \\ (21*4)/(3)=AB \\ 28=AB \end{gathered}`