Question

question
△gto≅△fhy. if og = 25, find fh.
answer attempt 2 out of 2
fh can be determined. fh = 25

Explanation:

Step1: Recall Congruent Triangles Property

In congruent triangles, corresponding sides are equal. Given \(\triangle GTO \cong \triangle FHY\), we need to identify the corresponding sides. The order of the letters in the triangle names indicates the correspondence: \(G\) corresponds to \(F\), \(T\) corresponds to \(H\), and \(O\) corresponds to \(Y\). So, side \(OG\) (which is the same as \(GO\)) corresponds to side \(FH\).

Step2: Apply Corresponding Sides Equality

Since \(\triangle GTO \cong \triangle FHY\), corresponding sides are congruent. So, \(OG = FH\). We know \(OG = 25\), so by substitution, \(FH = 25\).

Answer:

\(25\)