Transcript Difficulty: Medium If triangle ABC above is congruent to triangle DEF (not shown), which of the following must be the length of.

Difficulty: Medium
If triangle ABC above is congruent to triangle DEF (not shown),
which of the following must be the length of one side of triangle DEF?
(a)
18
(b)
24
(c)
(d)
(e)
It cannot be determined from the information given.
D:
Explanation
Triangle ABC is congruent to triangle DEF, so the lengths of the three sides of
triangle DEF are the same as the lengths of the three sides of triangle ABC. Triangle
ABC is a 30° - 60° - 90° triangle with hypotenuse of length 12, so the other two sides
of triangle ABC have lengths 6 and
. Therefore, the lengths of the sides of
triangle DEF must be 12, 6, and
. Of the choices given, only
is one of these
values.