Pythagorean Theorem Calculator

Pythagorean Theorem Calculator

It is also called the Pythagoras’s theorem calculator. It is used to calculate the fundamental relation among the three sides of a right angled triangle in the Euclidean geometry. According to the Pythagorean Theorem, the square of the hypotenuse is equivalent to the sum of the squares of base and height of the triangle. The Pythagorean equation is expressed as; a2 + b2 = c2.

The Pythagorean calculator has three sections which are used to determine the values of the different sides of the right angled triangle. The first section is used to calculate the Hypotenuse. You will enter the first value, leg (a) in the initial cell and leg (b) in the second text field. The result in Hypotenuse will be calculated automatically while you enter the values.

The second section calculates the height of the right triangle using the base and Hypotenuse. You will first enter the length of the base in the first text field and the Hypotenuse in the following cell to get the results of the height.

The last section of the Pythagorean Theorem is used to determine the length of the base. You will first enter the value in height and then the Hypotenuse. The value of the base will be calculated automatically once you key in the Hypotenuse. It is a simple calculator that uses a straightforward approach in determining the sides of a right angled triangle according to the Pythagorean Theorem.

For example;

If the height and base of a right angled triangle is 4 and 3 respectively, determine the Hypotenuse.

Solution;

You will use the first section of the calculator to determine the Hypotenuse of the triangle. Enter 3 and 4 in their appropriate text fields to give you the Hypotenuse result.

Formula for calculating the Pythagorean Theorem

Leg (a) = a = √ c2 – b2

Leg (b) = b =√ c2 – a2

Hypotenuse = c = √a2 + b2

These formulas are incorporated in the Pythagorean Theorem calculator to give accurate results depending on the values entered in the text fields.