Isosceles Right Triangle Hypotenuse Calculator

An isosceles right triangle is a right angle triangle with two equal sides and two equal angles. Because two sides are equal, and one of its interior angles is equivalent to 90 degrees, it is considered both an isosceles and a right-angle triangle.

The interior angles of all triangles add up to 180 degrees. So since we already know that one angle of this triangle is 90 degrees and the other two angles are equivalent, this means that the other two angles are both equal to 45 degrees. In fact, the only isosceles triangle that is also a right angle triangle is one where the other two interior angles measure 45 degrees.

The Pythagoras theorem is the formula used to find the hypotenuse of an isosceles right triangle.

The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides. So if the hypotenuse is labeled and the other two sides are and , then using Pythagoras theorem, the formula would look like this:

🙋 Note: Because we know that the other two sides of this isosceles right triangle are equal, we use the same variable to represent them.

So when we work out this equation, we get:

Step 1:

Step 2:

Step 3:

So if we know the measurement of the two equal sides is 5 cm, the hypotenuse would be:

So:

Of course, you may skip the formula altogether, and use our isosceles right triangle hypotenuse calculator to get the job done effortlessly 😉.

To use our isosceles right triangle hypotenuse calculator:

1. Enter the measurement for B, the two equal sides.
2. The measurement for A, the hypotenuse, will be generated for you.

Here is a list of related calculators:

• Hypotenuse calculator;
• Isosceles right triangle calculator;
• Isosceles triangle area calculator;
• Isosceles triangle side calculator;
• Isosceles triangle height calculator.