NRICH: Third Side
NRICH: Third Side
What are the possible lengths for the third side of this right-angled triangle?
The lengths of the sides of a right-angled triangle are all integers.
The sum of the lengths of the hypotenuse and one of the other sides is 49.
What are the three possible lengths for the third side?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
Age 14 to 16
NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Geometry, Quadratic Equations
High School
9th Grade, 10th Grade, 11th Grade
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NRICH (University of Cambridge)
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Resource k12
NRICH: Third Side
What are the possible lengths for the third side of this right-angled triangle?
The lengths of the sides of a right-angled triangle are all integers.
The sum of the lengths of the hypotenuse and one of the other sides is 49.
What are the three possible lengths for the third side?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
Age 14 to 16
NRICH (University of Cambridge)
Math Topics
Algebra & Pre-Algebra, Geometry, Quadratic Equations
High School
9th Grade, 10th Grade, 11th Grade
What are you looking for?
Organization
NRICH (University of Cambridge)
Website URL
Type of Resource
Challenge