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What is the Pythagorean Theorem?

The Pythagorean Theorem is the relationship between the lengths of the two legs of a right triangle and its hypotenuse. The relationship is expressed as follows:

Based on this relationship, we can isolate each unknown length to solve for it.

Converse of Pythagorean Theorem

If you already know the lengths of all three sides of a triangle, the Converse of the Pythagorean Theorem can be used to determine whether or not the triangle is a right triangle.

You can conduct your own test here:

With that, let's use the Pythagorean Theorem Calculator to find the missing side of a right triangle.

PYTHAGOREAN THEOREM CALCULATOR
Instructions: Select your rounding preference. Next, select the side you want to solve for (Hypotenuse c, Leg a, or Leg b). Enter the two known lengths of the right triangle and tap the "Calculate Unknown Length" button. This will solve for the missing length and, if you have an HTML5 compatible web browser, redraw the triangle. Mouse over the blue question marks for a further explanation of each entry field or button. More in-depth explanations can be found in the glossary of terms located beneath the Pythagorean Theorem Calculator.
Number of decimal places to round result to:	0 1 2 3 4 5 6 7 8 9
Solve for: Hypotenuse c Leg a Leg b
Length of Leg a:
Length of Leg b:
Length of Hypotenuse:
Area of triangle:
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