Algebra 1 converse of the Pythagorean theorem worksheet
Square the two shorter sides and add. If the total equals the square of the longest side, the triangle is right. If it is more, the triangle is acute; if it is less, obtuse. The longest side always goes on its own.
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Sigma Prep · sigmaprep.io/worksheets Name Converse of the Pythagorean TheoremDate Period Classify each triangle from its sides.
Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep |
Sigma Prep · sigmaprep.io/worksheets Name Converse of the Pythagorean TheoremAnswer keyVersion 1Date Period Classify each triangle from its sides.
Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep |
How to do these
A triangle has sides . Right, acute or obtuse?
- 7² + 24² = 49 + 576 = 625.
- 25² = 625. They match.
The answer is Right.
Where students go wrong
Squaring the wrong side on its own. The comparison only works with the longest side alone on one side of the equation.
Also called classifying triangles by sides, Pythagorean inequalities, is it a right triangle or Pythagorean triples.