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question in △rst, ∠s ≅ ∠r, rs = 10 and tr = 19. find st.

Question

question
in △rst, ∠s ≅ ∠r, rs = 10 and tr = 19. find st.

Explanation:

Step1: Use the property of isosceles triangle

In a triangle, if two angles are congruent (\(\angle S\cong\angle R\)), then the sides opposite to these angles are congruent.

Step2: Identify the sides

The side opposite \(\angle S\) is \(RT\), and the side opposite \(\angle R\) is \(ST\).
Since \(\angle S\cong\angle R\), we have \(ST = RT\).

Answer:

\(19\)