Question

Assume ABC DEF. If AB = 12, BC = 15, and AC = 17, what is the length of EF? A. 15 B. 17 C. Cannot be determined D. 10

Answer 1

If two unrelated triangles, then C mainly because you're not given any information on DEF.
If ABC=DEF, then the answer would be A.

Answer 2

Option A) EF = 15 units.

Explanation:

We are given the following information in the question:

ΔABC ≅ ΔDEF

AB = 12, BC = 15, and AC = 17

If two triangles are congruent then they have the following properties:

AB = DE

BC = EF

AC = DF

`\angle A = \angle D \\\angle B = \angle E \\\angle C = \angle F`

Hence, by congruency:

BC = EF

EF = 15 units.

Thus, option A is the correct answer.