Chapter 11 Surface Area and Volume

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• Lesson 8-1 The Pythagorean Theorem

  Algebra Solve for a, b, or c in right Δ A B C , cap delta eh b c comma where a and b are the lengths of the legs and c is the length of the hypotenuse.

  1. a = 8 , eh equals 8 , comma b = 15 , b equals 15 , comma c = □ c equals , white square
  2. a = □ , b = 4 , eh equals , white square comma , b equals 4 , comma c = 12 c equals 12
  3. a = 2 3 , b = 2 6 , c = □ eh equals 2 square root of 3 comma b equals 2 square root of 6 comma c equals white square

• Lesson 8-2 Special Right Triangles

  4. Find the length of the shorter leg of a 30 ° 30 degrees - 60 ° 60 degrees - 90 ° 90 degrees triangle with hypotenuse 8 5 . 8 square root of 5 .
  5. Find the length of the diagonal of a square whose perimeter is 24.
  6. Find the height of an equilateral triangle with sides of length 8.

• Lessons 10-1, 10-2, and 10-3 Area

  Find the area of each figure. Leave your answer in simplest radical form.

  7. 
  8. 
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• Lesson 10-4 Perimeters and Areas of Similar Figures

  11. Two similar triangles have corresponding sides in a ratio of 3 : 5. Find the perimeter of the smaller triangle if the larger triangle has perimeter 40.
  12. Two regular hexagons have areas of 8 and 25. Find the ratio of corresponding sides.

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