What you’ll learn
Understand Pythagorean theorem.
Key idea
The right-triangle theorem compares the sum of leg squares with the hypotenuse square; a side-square area is not a side length.
Compare squared lengths, not ordinary sums; side-square area is a distinct quantity from side length.
Worked example
Classify examples and non-examples for the concept 'Understand Pythagorean theorem'.
Classify whether sides 28,96,101 units form a right triangle, with squared-length evidence.
- The leg-square sum is 28²+96²=784+9216=10000=100².
- Compare with candidate 101²=10201; the right-triangle relationship uses squared lengths, not the ordinary sum 124.
Answer: No — leg-square sum 10000 differs from longest-side square 10201.
Quick Check
Classify examples and non-examples for the concept 'Understand Pythagorean theorem'.
Classify whether sides 3,4,5 units form a right triangle, with squared-length evidence.