Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Find the area of each regular polygon. Round your answers to the nearest tenth.

  1. octagon with side length 6 cm
  2. decagon with side length 4 yd
  3. pentagon with radius 3 ft
  4. nonagon with radius 7 in.
  5. dodecagon with radius 20 cm
  6. 20-gon with radius 2 mm
  7. 18-gon with perimeter 72 mm
  8. 15-gon with perimeter 180 cm

See Problem 3.

Find the area of each triangle. Round your answers to the nearest tenth.

  1. A triangle has an angle measuring 57 degrees with adjacent sides 6 meters and 11 meters.
  2. A triangle has an angle measuring 33 degrees with adjacent sides 5½ feet and 12 feet.
  3. A triangle has an angle measuring 40 degrees with adjacent sides 104 meters and 226 meters.
  4. A triangle has an angle measuring 28 degrees with adjacent sides 34 kilometers and 39 kilometers.
  5. A triangle has an angle measuring 76 degrees with adjacent sides 11 millimeters and 24 millimeters.
  6. A triangle has an angle measuring 37 degrees with adjacent sides 1 foot and 2½ feet.

B Apply

  1. PQRST is a regular pentagon with center O and radius 10 in. Find each measure. If necessary, round your answers to the nearest tenth.

    Pentagon PQRST with center O has radius OP and apothem OX to side PQ.

    1. m angle p o q
    2. m angle p o x
    3. OX
    4. PQ
    5. perimeter of PQRST
    6. area of PQRST

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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments