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7th Grade Math (Math 7) · Chapter 8 · Lesson 8.7 · Printable PDF

Triangle Inequality Worksheet with Answer Key

6 problems on the triangle inequality: testing lengths with the inequality, a student's wrong test, side ratios, sticks lying flat, a pipe cleaner triangle, and a pennant with one edge twice another. 1 page, with a worked answer key.

6 problems1 pagesanswer key
Printable Triangle inequality worksheet with answer key - 7th Grade Math (Math 7) (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Decide if lengths can be the sides of a triangle, changing units first.
    6, 9, 135, 12, 187, 7, 142.5, 4, 61.2 m, 90 cm, 40 cm
  2. Find what is wrong with Omar's test of 3, 12 and 7.
  3. Decide if sides could be in each given ratio.
  4. Find third stick lengths that just fail to close into a triangle.
  5. Find the possible second side lengths of Zoe's pipe cleaner triangle.
  6. Find the possible lengths of the shorter edge of a triangular pennant.

Teach it first

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

Triangle inequality: the lesson ›

More Chapter 8 worksheets: Angles, triangles and constructions