1. What is a 45-45-90 Triangle?

Definition: A 45-45-90 triangle is a special right triangle where the two legs are congruent and the angles opposite them are both 45 degrees.

Properties: The hypotenuse is always √2 times the length of either leg.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Leg — Length of either of the two equal sides (meters)
• Hypotenuse — Longest side opposite the right angle (meters)
• √2 — Approximately 1.41421356237

3. Practical Applications

Usage: Commonly used in construction, drafting, and geometry problems involving squares and their diagonals.

4. Using the Calculator

Tips: Simply enter the length of one leg in meters. The calculator will compute the hypotenuse length.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate the leg from the hypotenuse?
A: Yes, divide the hypotenuse by √2 to get the leg length.

Q2: What if I know both legs but need the hypotenuse?
A: Use either leg in the calculator since they're equal in a 45-45-90 triangle.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q4: Can I use different units?
A: Yes, as long as you're consistent. The calculator displays meters but works with any unit.

Q5: What's the area formula for a 45-45-90 triangle?
A: Area = (leg × leg) / 2 or (leg²) / 2.