Illuminations: Same Hypoteneuse

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Illuminations: Same Hypoteneuse

What is the smallest integer that can be the hypotenuse of two different right triangles, each of which has legs whose lengths are also integers?

This brainteaser was written by Derrick Niederman.

National Council of Teachers of Mathematics
Math Topics
Geometry
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade
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Illuminations (National Council of Teachers of Mathematics)
National Council of Teachers of Mathematics

Illuminations works to serve you by increasing access to quality standards-based resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.

https://illuminations.nctm.org/Content.aspx?id=58

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National Council of Teachers of Mathematics

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Submit a Resource

Illuminations: Same Hypoteneuse

What is the smallest integer that can be the hypotenuse of two different right triangles, each of which has legs whose lengths are also integers?

This brainteaser was written by Derrick Niederman.

National Council of Teachers of Mathematics
Math Topics
Geometry
High School
9th Grade, 10th Grade, 11th Grade, 12th Grade
Download PDFs
PDF File
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories