Question

question 8 of 10
assume △abc≅△def. if ab=12, bc=15, and ac=17, what is
the length of
a. 10
b. 17
c. cannot be determined
d. 15

Explanation:

Step1: Recall Congruent Triangles Property

In congruent triangles, corresponding sides are equal. So, for \(\triangle ABC \cong \triangle DEF\), the corresponding sides are \(AB = DE\), \(BC = EF\), and \(AC = DF\).

Step2: Identify Corresponding Side for \(EF\)

We know \(BC = 15\) and from the congruence, \(BC\) corresponds to \(EF\). So, \(EF = BC\).

Answer:

D. 15