1. What is a 45 Degree Right Triangle Calculator?

Definition: This calculator computes the hypotenuse length of a 45-45-90 right triangle based on the length of its legs.

Purpose: It helps in geometry, construction, and design projects where precise measurements of 45° right triangles are needed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• hyp — Hypotenuse length (meters)
• leg — Length of either equal side (meters)
• √2 — Approximately 1.41421356237

Explanation: In a 45-45-90 triangle, the hypotenuse is always √2 times the length of each leg.

3. Importance of 45-45-90 Triangle Calculations

Details: These calculations are essential in construction for diagonal measurements, roof framing, and creating perfect squares.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why is the hypotenuse √2 times the leg?
A: This comes from the Pythagorean theorem (a² + b² = c²) where both legs are equal length.

Q2: Can I use this for non-45° right triangles?
A: No, this calculator is specifically for 45-45-90 triangles. Other right triangles require different formulas.

Q3: How precise is the calculation?
A: The calculator uses PHP's sqrt(2) function which provides high precision (about 14 decimal places).

Q4: What if I know the hypotenuse and need the legs?
A: Simply divide the hypotenuse by √2 (or multiply by 0.7071) to get the leg length.

Q5: Where are 45-45-90 triangles commonly used?
A: In diagonal bracing, square layouts, quilting patterns, and any application requiring equal-length sides with a 90° angle.