45-45-90 Triangle Table: Hypotenuse by Leg length
Reference table of hypotenuse for 45-45-90 Triangle across a range of leg length values — exact, engine-computed figures you can read off at a glance.
45-45-90 Triangle Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Hypotenuse
7.0711
- Area
- 12.5000
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the 45-45-90 Triangle Calculator
The 45-45-90 Triangle Calculator works out your hypotenuse, along with 1 related figure in an instant. Enter leg length and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the leg length.
- Read off your hypotenuse, together with area — the calculator updates automatically, with no button to press.
Formula
The 45-45-90 Triangle Calculator uses the formula:
Hypotenuse = Leg length × √(2)
Worked example
For example, with leg length of 5, the hypotenuse is 7.0711.
| Leg length | 5 |
|---|
| Hypotenuse | 7.0711 |
|---|---|
| Area | 12.5000 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Hypotenuse
- The longest side of a right triangle, opposite the right angle.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
An isosceles right triangle with two 45-degree angles. Its legs are equal, and the hypotenuse is leg × √2.
Multiply the leg by √2 (about 1.414). A leg of 5 gives a hypotenuse of about 7.07.
Both legs are equal, so area is leg² ÷ 2. For a leg of 5 the area is 12.5.
Divide the hypotenuse by √2, or multiply by about 0.707.
The 45-45-90 Triangle Calculator uses the formula: Hypotenuse = Leg length × √(2). For example, with leg length of 5, the hypotenuse is 7.0711.
Enter the leg length. Read off your hypotenuse, together with area — the calculator updates automatically, with no button to press.
Related guides
How to Calculate 45-45-90 Triangle: Formula, Steps & Examples
Learn how to calculate 45-45-90 Triangle — the formula explained step by step, with worked examples and a free calculator to check your answer.