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Right triangle PQR with the right angle at Q has one side measuring 20 and the hypotenuse measuring 30. Find the other side as a radical in...

  1. Right triangle PQR with the right angle at Q has one side measuring 20 and the hypotenuse measuring 30. Find the other side as a radical in simplified radical form and to the nearest tenth.
  2. Is a triangle that has sides which measure 9, 15, and 18 a right triangle? Justify your answer, ie, tell how you know.
  3. If side p of right triangle PQR with the right angle at R measures 35.8" and the hypotenuse measures 65.1", find angle P to the nearest tenth of a degree.
  4. Right triangle ABC has the right angle at C. Angle B is 62.4 and side a is 87.1 centimeters. Find the length of the hypotenuse to the nearest tenth of a centimeter.
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