Questions: What values of (s) and (t) make (triangle B C D cong triangle Z X Y) ? [s=square] [t=square]

Transcript text: What values of $s$ and $t$ make $\triangle B C D \cong \triangle Z X Y$ ? \[ \begin{array}{l} s=\square \\ t=\square \end{array} \]

Solution

Solution Steps

Step 1: Identify Corresponding Sides

For the triangles to be congruent, their corresponding sides must have equal lengths. Side CD corresponds to side XY, side BD corresponds to side YZ, and side BC corresponds to side XZ.

Step 2: Set up Equations

We are given CD = 18 and YZ = 41. Also, BD = t and YZ = 41. BC is unknown, and XZ is unknown. Finally, XY = s and CD = 18.

So we have:

CD = XY => 18 = s
BD = YZ => t = 41

Final Answer

s = 18 t = 41

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