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these figures are congruent. what is rp? kilometers

Question

these figures are congruent. what is rp? kilometers

Explanation:

Step1: Match congruent triangle sides

First, identify corresponding sides of congruent triangles. In $\triangle LMN$ and $\triangle QPR$:

  • $MN = QR = 84$ km, $LM = QP = 50$ km
  • The remaining sides must be congruent: $LN = RP$

Step2: State the length of RP

From $\triangle LMN$, $LN = 68$ km, so $RP = LN$.

Answer:

68 kilometers