Geometry · Chapter 8 · Lesson 8.4 · Printable PDF

Opposite, Adjacent and Hypotenuse Worksheet with Answer Key

8 problems on opposite, adjacent and hypotenuse: naming sides from an angle, finding the third side, checking lists of lengths, a funicular railway, and an isosceles triangle split in two. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Opposite, adjacent and hypotenuse worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Find the third side and compare the angle with 45 degrees.
    opp = 16, adj = 30adj = 7, hyp = 25opp = 5, hyp = 7\text{opp} = \sqrt{7},\ \text{adj} = 3\text{adj} = 2\sqrt{2},\ \text{hyp} = 4
  2. Decide whether each list of opposite, adjacent and hypotenuse could be right.
    opp = 20, adj = 48, hyp = 52opp = 10, adj = 11, hyp = 15opp = 24, adj = 7, hyp = 20\text{opp} = \sqrt{5},\ \text{adj} = 2,\ \text{hyp} = 3
  3. Name the sides opposite and adjacent to the angles of a right triangle.
  4. Name the opposite, adjacent and hypotenuse lengths for two angles in a rectangle with a diagonal.
  5. Explain why one side cannot be adjacent to both acute angles.
  6. Find the sides of a funicular track triangle from its length and height.
  7. Find KN and name the sides for the angles in each half of an isosceles triangle.
  8. Find the opposite and adjacent sides exactly when the opposite side is twice the adjacent.

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