Last updated on August 5th, 2025
A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving trigonometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Pythagorean Theorem Calculator.
The Pythagorean Theorem Calculator is a tool designed for calculating the length of the sides of a right-angled triangle using the Pythagorean theorem.
The theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
The formula is a² + b² = c², where 'c' is the hypotenuse.
For calculating the sides of a right-angled triangle using the calculator, we need to follow the steps below -
Step 1: Input: Enter the lengths of any two sides of the triangle.
Step 2: Click: Calculate. By doing so, the sides we have given as input will get processed.
Step 3: You will see the length of the missing side in the output column.
Mentioned below are some tips to help you get the right answer using the Pythagorean Theorem Calculator.
Know the formula: The formula for the Pythagorean theorem is 'a² + b² = c²', where 'c' is the hypotenuse.
Use the Right Units: Make sure all side lengths are in the same units, like centimeters or meters.
Enter correct Numbers: When entering the side lengths, make sure the numbers are accurate.
Small mistakes can lead to big differences, especially with larger numbers.
Calculators mostly help us with quick solutions.
For calculating complex math questions, students must know the intricate features of a calculator.
Given below are some common mistakes and solutions to tackle these mistakes.
Help Jane find the length of the hypotenuse if the other two sides of her right triangle are 6 cm and 8 cm.
We find the length of the hypotenuse to be 10 cm.
To find the hypotenuse, we use the formula: c² = a² + b²
Here, the values of 'a' and 'b' are 6 and 8.
We substitute the values: c² = 6² + 8² = 36 + 64 = 100
c = √100 = 10 cm
The sides of a ramp are 9 cm and 12 cm. What is the length of the hypotenuse?
The hypotenuse is 15 cm.
To find the hypotenuse, we use the formula: c² = a² + b²
Since the sides are 9 and 12, we can find the hypotenuse as: c² = 9² + 12² = 81 + 144 = 225
c = √225 = 15 cm
Find the length of one side of a right triangle if the hypotenuse is 13 cm and the other side is 5 cm.
The length of the unknown side is 12 cm.
For the unknown side 'b', use the formula: c² = a² + b²
13² = 5² + b²
169 = 25 + b²
b² = 144
b = √144 = 12 cm
The hypotenuse of a right triangle is 17 cm, and one side is 8 cm. Find the other side.
We find the other side to be 15 cm.
Using the formula: c² = a² + b²
17² = 8² + b²
289 = 64 + b²
b² = 225
b = √225 = 15 cm
Alex wants to find the missing side of a right triangle with a hypotenuse of 25 cm and one side of 7 cm.
The missing side is 24 cm.
Using the formula: c² = a² + b²
25² = 7² + b²
625 = 49 + b²
b² = 576
b = √576 = 24 cm
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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