The name given to a
right isosceles triangle. So called because its angles measure 45°, 45°, and 90°. Notable because if one leg measures
x, then the
hypotenuse measures sqrt(2)
x. Proof:
- a²+b² = c²
- x²+x² = c²
- 2x² = c²
- c = sqrt(2x²)
- c = sqrt(2)x.
Q.E.D.