Chapter 3.2, Problem 22PSB

To determine

To prove : The congruency of $\Delta RST\cong \Delta RTS$ is to be proved

Explanation of Solution

Given information : The following information has been given

  $\overrightarrow{RS}\cong \overrightarrow{RT}$

Formula used : if any two triangles have all three sides same, then by SSS property, the triangles are said to be congruent

Proof : in the triangle RST and RTS,

  $\overrightarrow{RS}\cong \overrightarrow{RT}$

ST is the common chord

  $\overrightarrow{RT}\cong \overrightarrow{RS}$ - inverse of the given information

Hence, by SSS property mentioned above, we can say that $\Delta RST\cong \Delta RTS$

Thus, required congruency is proved