Skills · Geometry · Triangles

The triangle inequality

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. Can 8, 8 and 10 be the sides of a triangle?
  2. Can 16, 8 and 2 be the sides of a triangle?
  3. Can 14, 3 and 19 be the sides of a triangle?
  4. Can 11, 6 and 7 be the sides of a triangle?
  5. Can 11, 19 and 9 be the sides of a triangle?
  6. Can 11, 2 and 12 be the sides of a triangle?
  7. Can 14, 7 and 7 be the sides of a triangle?
  8. Can 3, 8 and 11 be the sides of a triangle?

Answer key

  1. yes
  2. no
  3. no
  4. yes
  5. yes
  6. yes
  7. no
  8. no

Sample Sheet · Level 3

  1. A triangle has sides 40, 23 and x. What can x be?
  2. A triangle has sides 3, 17 and x. What can x be?
  3. A triangle has sides 8, 31 and x + 7. What can x be?
  4. A triangle has sides 7, 18 and x. What can x be?
  5. A triangle has sides 32, 4 and x + 2. What can x be?
  6. A triangle has sides 9, 26 and x + 3. What can x be?
  7. A triangle has sides 28, 22 and x. What can x be?
  8. A triangle has sides 9, 36 and x + 9. What can x be?

Answer key

  1. 17 < x < 63
  2. 14 < x < 20
  3. 16 < x < 32
  4. 11 < x < 25
  5. 26 < x < 34
  6. 14 < x < 32
  7. 6 < x < 50
  8. 18 < x < 36

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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