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Geometry practice

Triangle Construction Worksheets

Construct equilateral and three-side triangles from supplied segments with usable paper workspace.

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Worksheet · LetterWorksheet · A4
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Construct the requested triangle from the given segments. Follow any instruction about which side of the base to use.

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US Letter

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A4

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Paper sizes and printing help · More geometry activities

Locate vertices by intersection

Each side length defines a circle around a baseline endpoint; their intersections locate the third vertex.

Learning objective

What this activity builds

Use intersecting compass circles to construct triangles from side lengths.

Worked example

How do you locate the third vertex when all three side lengths are given?

Intersect circles centered at the two base endpoints with radii equal to the remaining sides.

The intersection has the required distance from each endpoint, so all three sides have the given lengths.

Teaching notes

Make the practice count

  • Transfer side lengths with the compass.
  • Use strict triangle inequalities to check possible side lengths.
  • Unless a side is specified, mirror-image constructions are both valid.

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Four tasks alternate equilateral and SSS constructions; keys show both reflected SSS solutions. Native variants are fixed to provide complete teaching coverage; the source form exposes no task-specific controls.

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Configured PDF · Construct Triangles · US Letter

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Math SheetNameScoreTeacherDateConstruct TrianglesUse the supplied segments as exact compass widths. Leave the locating arcs visible.Compass and straightedge workspace1.Construct an equilateral triangle on segment ST.STWORKSPACE2.Construct a triangle with base ST and the two supplied side lengths.SUTUSTWORKSPACE3.Construct an equilateral triangle on segment ST.STWORKSPACE4.Construct a triangle with base ST and the two supplied side lengths.SUTUSTWORKSPACEKeep construction arcs visible. Do not measure with a ruler or protractor.math-sheet.comPage 1 of 1

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