Question

1. given the following information, what is the length of side yz?

\\( \triangle a b c \cong \triangle x y z, a b = 4, a c = 7 \\)
\\( \bigcirc 4 \\)
\\( \bigcirc 7 \\)
\\( \bigcirc 2 \\)
\\( \bigcirc 10 \\)
\\( \bigcirc \\) impossible to determine.

Explanation:

Step1: Recall the property of congruent triangles

Congruent triangles have corresponding sides equal. Since \(\triangle ABC\cong\triangle XYZ\), \(AB = XY\), \(BC=YZ\), \(AC = XZ\).

Step2: Analyze the given side - length information

We are given \(AB = 4\) and \(AC=7\). But there is no information provided about the length of \(BC\).

Answer:

Impossible to determine.