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Geometry · Chapter 8 · Lesson 8.1 · Printable PDF

Geometric Means in a Right Triangle Worksheet with Answer Key

6 problems on geometric means in a right triangle: geometric and arithmetic means, the altitude and leg rules, finding a student's error, a sail, and ratios of pieces of the hypotenuse. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Geometric means in a right triangle worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the geometric mean and then the arithmetic mean of pairs of numbers, exactly.
    2 and 184 and 98 and 10\dfrac{1}{4} and 167 and 7
  2. Fill in the blanks of the altitude and leg rules for a right triangle PQR.
  3. Explain the error in a student's leg rule for BC and find it correctly.
  4. Find where the seam meets the longest edge of a right triangle sail, its length and the other edge.
  5. Find RU, UT, RT and ST from an altitude and a leg.
  6. Show a ratio of hypotenuse pieces equals a ratio of squared legs, then use a leg ratio.

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The free lesson teaches it with worked examples and practice problems.

Geometric means in a right triangle: the lesson ›

More Chapter 8 worksheets: Right triangles and trigonometry