SUMMARY
In a right isosceles triangle with a hypotenuse of length 1, the lengths of the unknown legs can be determined using the Pythagorean theorem. By setting the length of each leg as "x", the equation becomes x² + x² = 1². This simplifies to 2x² = 1, leading to x² = 1/2, and thus x = 1/√2. Rationalizing the denominator results in the final answer of x = √2/2.
PREREQUISITES
- Understanding of the Pythagorean theorem
- Knowledge of right isosceles triangles
- Ability to simplify square roots
- Familiarity with rationalizing denominators
NEXT STEPS
- Study the properties of right isosceles triangles
- Learn about the Pythagorean theorem applications
- Explore techniques for rationalizing denominators
- Practice solving for unknown sides in various triangle types
USEFUL FOR
Students studying geometry, mathematics educators, and anyone interested in mastering triangle properties and the Pythagorean theorem.