Only at a right angle
Two sides meet at a corner. A square is built on each side. A third square is built on the side across from the corner. Open the corner wider than 90°. Do the first two squares still add up to the third?
Step 1 of 3
- Sides 6 and 8 meet at A. Corner A is 60°. Squares at A: 36 + 64 = 100. Across: 52.
- Open A to exactly 90°. Across: 100. The totals match.
- Open A to 120°. Across: 148. The square across is bigger.
No. They add up to the square across only at exactly 90°.
Rule: Take the two squares at a corner. Their total equals the square across only at exactly 90°. Below 90°, the two squares together are bigger. Above 90°, the one across is bigger.
At A, the squares total 36 + 64 = 100 each time. The square across is 52, then 100, then 148.
Drag the slider to open the corner.
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