Worksheets · Geometry

Classifying triangles worksheet

Two independent labels: one from the sides, one from the angles. A triangle has both, and knowing one tells you almost nothing about the other.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Classifying Triangles

Date Period

Classify each triangle.

  1. Classify the triangle with angles 149, 13 and 18
  2. Classify the triangle with angles 120, 30 and 30
  3. Classify the triangle151515
  4. Classify the triangle with sides 14, 3 and 12
  5. Classify the triangle with angles 90, 53 and 37
  6. Classify the triangle with angles 90, 43 and 47
  7. Classify the triangle with angles 90, 27 and 63
  8. Classify the triangle171717
  9. Classify the triangle with angles 90, 51 and 39
  10. Classify the triangle with angles 64, 48 and 68
  11. Classify the triangle with angles 83, 77 and 20
  12. Classify the triangle with angles 90, 35 and 55
  13. Classify the triangle with angles 55, 73 and 52
  14. Classify the triangle with angles 63, 38 and 79
  15. Classify the triangle91616
  16. Classify the triangle with angles 90, 48 and 42
  17. Classify the triangle141414
  18. Classify the triangle with angles 90, 46 and 44
  19. Classify the triangle181818
  20. Classify the triangle with angles 90, 70 and 20

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Classifying TrianglesAnswer keyVersion 1

Date Period

Classify each triangle.

  1. Classify the triangle with angles 149, 13 and 18Obtuse
  2. Classify the triangle with angles 120, 30 and 30Obtuse
  3. Classify the triangle151515Equilateral
  4. Classify the triangle with sides 14, 3 and 12Scalene
  5. Classify the triangle with angles 90, 53 and 37Right
  6. Classify the triangle with angles 90, 43 and 47Right
  7. Classify the triangle with angles 90, 27 and 63Right
  8. Classify the triangle171717Equilateral
  9. Classify the triangle with angles 90, 51 and 39Right
  10. Classify the triangle with angles 64, 48 and 68Acute
  11. Classify the triangle with angles 83, 77 and 20Acute
  12. Classify the triangle with angles 90, 35 and 55Right
  13. Classify the triangle with angles 55, 73 and 52Acute
  14. Classify the triangle with angles 63, 38 and 79Acute
  15. Classify the triangle91616Isosceles
  16. Classify the triangle with angles 90, 48 and 42Right
  17. Classify the triangle141414Equilateral
  18. Classify the triangle with angles 90, 46 and 44Right
  19. Classify the triangle181818Equilateral
  20. Classify the triangle with angles 90, 70 and 20Right

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Classify the triangle with angles 40, 60 and 80

  1. Look at the largest angle: 80.
  2. It is under 90, so every angle is.

The answer is Acute.

Where students go wrong

Calling a triangle acute because two of its angles are. It only takes one angle of 90 or more to make it right or obtuse, so the largest angle is the only one worth checking.

Also called triangle classification, types of triangles or acute obtuse right.

Questions about these worksheets

Yes. Every classifying triangles sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the classifying triangles questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Calling a triangle acute because two of its angles are. It only takes one angle of 90 or more to make it right or obtuse, so the largest angle is the only one worth checking.