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Order Triangle Sides Worksheets

Use angle measures to order opposite sides or identify the longest and shortest sides, with diagrams and named triangles.

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Match each angle to its opposite side, then order the sides or identify the longest and shortest.

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Match each side to the angle across from it

The longest side lies opposite the largest angle, and the shortest side lies opposite the smallest angle.

Learning objective

What this activity builds

Compare triangle side lengths using their opposite angle measures.

Worked example

In triangle ABC, angle A = 80 degrees, B = 60 degrees, and C = 40 degrees. Order the sides from longest to shortest.

BC > CA > AB.

The largest angle A faces BC, B faces CA, and the smallest angle C faces AB.

Teaching notes

Make the practice count

  • Write the opposite side beside each given angle.
  • The largest angle faces the longest side.
  • Check that every side uses the two vertices other than its opposite angle.

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Each section includes two labelled diagrams and two text-only named triangles. Worked keys show the opposite matches before the answer.

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Math SheetNameScoreTeacherDateOrder Triangle SidesUse the angle measures to order the opposite sides from longest to shortest or identify the longest and shortest sides.Section 1: Order all sidesWrite the complete order from largest to smallest. Use the opposite side-angle relationship.1. Order the sides of triangle ABC from longest to shortest.ABC50°75°55°Largest to smallest:2. Order the sides of triangle PQR from longest to shortest.PQR41°107°32°Largest to smallest:3. Order the sides of triangle XYZ from longest to shortest.Angle X = 46°, Angle Y = 98°, Angle Z = 36°Largest to smallest:4. Order the sides of triangle JKL from longest to shortest.Angle J = 95°, Angle K = 29°, Angle L = 56°Largest to smallest:Larger angles lie opposite longer sides.math-sheet.comPage 1 of 2
Math SheetNameScoreTeacherDateOrder Triangle SidesUse the angle measures to order the opposite sides from longest to shortest or identify the longest and shortest sides.Section 2: Name the longest and shortest sidesIdentify both extremes from the opposite side-angle relationship.5. Name the longest and shortest sides of triangle MNP.MNP94°27°59°Largest:Smallest:6. Name the longest and shortest sides of triangle RST.RST24°84°72°Largest:Smallest:7. Name the longest and shortest sides of triangle DEF.Angle D = 69°, Angle E = 80°, Angle F = 31°Largest:Smallest:8. Name the longest and shortest sides of triangle UVW.Angle U = 57°, Angle V = 96°, Angle W = 27°Largest:Smallest:Larger angles lie opposite longer sides.math-sheet.comPage 2 of 2

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First page preview: Order Triangle Angles Worksheets

Geometry

Order Triangle Angles Worksheets

Use side lengths to order opposite angles or identify the largest and smallest angles, with diagrams and named triangles.

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