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In \(\triangle PQR\), \(\angle P = 70°\) and \(\angle R = 30°\). Which side of this triangle is the longest?

  • A.Pq
  • B.Qr
  • C.Pr
  • D.All sides are equal

Answer: C

First, find the third angle, \(\angle Q\).

\(\angle Q = 180° - (70° + 30°) = 180° - 100° = 80°\).

In any triangle, the side opposite the largest angle is the longest side.

The angles are P=70°, Q=80°, R=30°. The largest angle is \(\angle Q = 80°\).

The side opposite to \(\angle Q\) is PR. Therefore, PR is the longest side.

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