Enter what you know below

<--- Side 1
<--- Side 2
<--- Hypotenuse
     

Given a right triangle with:

Side length = 12 and Hypotenuse = 13

Calculate the remaining side:

Pythagorean Theorem Formula

Side12 + Side22 = Hypotenuse2

Solve for Side 2

Take the square root of both sides

Side 1 = √Hypotenuse2 - Side 22

Plug in Hypotenuse = 13 and Side 2 = 12

Side 1 = √132 - 122

Side 1 = √169 - 144

Side 1 = √25

Final Answer

Side 1 = 5





What is the Answer?
Side 1 = 5
How does the Pythagorean Theorem Calculator work?
Free Pythagorean Theorem Calculator - Figures out based on user entry the missing side or missing hypotenuse of a right triangle. In addition, the calculator shows the proof of the Pythagorean Theorem and then determines by numerical evaluation if the 2 sides and hypotenuse you entered are a right triangle using the Pythagorean Theorem
This calculator has 3 inputs.

What 3 formulas are used for the Pythagorean Theorem Calculator?

a2 + b2 = c2
a2 = c2 - b2
b2 = c2 - a2

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Pythagorean Theorem Calculator?

length
the measurement or extent of something from end to end
pythagorean theorem
a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides
a2 + b2 = c2
side
line segment joining two vertices in a polygon also known as an edge
theorem
A statement provable using logic
triangle
a flat geometric figure that has three sides and three angles
Example calculations for the Pythagorean Theorem Calculator
Pythagorean Theorem Calculator Video

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