Find C with the Pythagorean Theorem

c = √(a² + b²)

Use this find c Pythagorean theorem calculator guide to square the legs, add them, and take the square root.

In the formula a² + b² = c², c is the hypotenuse: the side opposite the right angle and the longest side of the triangle.

1Find c step by step

Write the formula
Start with c² = a² + b².
c² = a² + b²
Square the legs
Calculate a² and b² using the known side lengths.
c² = 9 + 16
Add them
Sum the squares to get c².
c² = 25
Square root
Take √ to solve for c.
c = 5

Find c example

For a right triangle with legs 3 and 4, the calculator uses the same c = √(a² + b²) workflow.

Known sides

Enter a and b

Use the two legs as the known inputs.

a = 3, b = 4

Formula

Add the squares

Square both legs and add the results to get c².

c² = 9 + 16

Answer

Take the square root

The square root gives the hypotenuse length.

c = √25 = 5

Hypotenuse FAQ

Q1.Which side is the hypotenuse?

The hypotenuse is c. It is the side opposite the 90° angle.

Q2.What inputs do I need to find c?

You need the two legs, a and b. Enter both values and the calculator finds c with c = √(a² + b²).

Q3.Can c be shorter than a leg?

No. c is the hypotenuse, so it is always the longest side of a right triangle.

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