45 45 90 Triangle Calculator
Click on a side to enter its length
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45-45-90 Triangle Calculator
The 45-45-90 Triangle Calculator makes it easy to find the missing side lengths of a 45-45-90 special right triangle. Enter the length of any side in the diagram, and the calculator instantly determines the other two sides. This is useful for geometry homework, math practice, and checking calculations involving special right triangles.
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How to Use the 45-45-90 Triangle Calculator
Simply click the side of the triangle you know and enter its length. The calculator automatically calculates the remaining side lengths.
- Select the side whose length you know.
- Enter the side length into the input field.
- View the calculated lengths for the other two sides instantly.
45-45-90 Triangle Formula
A 45-45-90 triangle has two equal legs and a hypotenuse that is √2 times the length of either leg. If a leg has length x, the other leg is also x, while the hypotenuse is x√2.
FAQ
What is a 45-45-90 triangle?
A 45-45-90 triangle is a special right triangle with two 45° angles and one 90° angle. Its two legs are always equal in length.
How do you find the hypotenuse of a 45-45-90 triangle?
Multiply the length of either leg by √2. The formula is hypotenuse = leg × √2.
How do you find a leg when you know the hypotenuse?
Divide the hypotenuse by √2. Equivalently, multiply the hypotenuse by √2/2.
Are the two legs always equal?
Yes. In every 45-45-90 triangle, the two legs have the same length.
Can I enter the hypotenuse into the calculator?
Yes. You can enter the length of any side shown in the calculator to find the other two side lengths.
