Cara Menghitung Pythagoras

>Hello Sohib EditorOnline, we would like to share with you the step-by-step process of how to calculate Pythagoras. Pythagoras is a mathematical theorem that allows us to find the length of one side of a right-angled triangle when we know the length of the other two sides. This theorem is named after the ancient Greek mathematician Pythagoras who was the first to prove it.

What is Pythagoras Theorem?

Pythagoras Theorem is a mathematical principle that states that the square of the length of the hypotenuse (the longest side of a right-angled triangle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical terms, this can be expressed as:

a² + b² = c²

Where:

• a and b are the lengths of the two shorter sides
• c is the length of the hypotenuse

Step-by-Step Guide to Calculate Pythagoras

Here is a detailed guide on how to calculate Pythagoras:

Step 1: Identify the Two Shorter Sides

The first step is to identify the two shorter sides of the right-angled triangle. These sides are usually labeled as ‘a’ and ‘b’.

Step 2: Note the Lengths of a and b

Once you have identified the two shorter sides, note down their lengths. Make sure to use the same unit of measurement for both sides.

Step 3: Square the Lengths of a and b

The next step is to square the lengths of both sides. This means that you multiply each length by itself. For example, if ‘a’ is 5 units long, then a² would be 25.

Step 4: Add the Squares of a and b Together

After squaring the lengths of both sides, add the two squared values together. The result will be the square of the length of the hypotenuse.

Step 5: Take the Square Root of the Result

The last step is to take the square root of the result obtained in step 4. This will give you the length of the hypotenuse.

Example of Calculating Pythagoras

Let us take an example to illustrate the use of Pythagoras theorem. Suppose we have a right-angled triangle with the two shorter sides labeled as ‘a’ and ‘b’ respectively. The lengths of a and b are 3 units and 4 units respectively. We want to find out the length of the hypotenuse, labeled as ‘c’.

Step 1: Identify the Two Shorter Sides

We have already identified the two shorter sides as ‘a’ and ‘b’.

Step 2: Note the Lengths of a and b

a = 3 units

b = 4 units

Step 3: Square the Lengths of a and b

a² = 9

b² = 16

Step 4: Add the Squares of a and b Together

a² + b² = 9 + 16 = 25

Step 5: Take the Square Root of the Result

c = √25 = 5 units

Therefore, the length of the hypotenuse is 5 units.

FAQs

What is a right-angled triangle?

A right-angled triangle is a triangle where one of the interior angles is a right angle (90 degrees).

What is the hypotenuse?

The hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Can Pythagoras be used to find any side of a right-angled triangle?

Yes, Pythagoras can be used to find the length of any side of a right-angled triangle as long as the lengths of the other two sides are known.

Can Pythagoras be used for non-right-angled triangles?

No, Pythagoras can only be used for right-angled triangles.

Why is Pythagoras theorem important?

Pythagoras theorem has many real-world applications in fields such as construction, engineering, and physics. It allows us to calculate distances, heights, and dimensions in a systematic and precise way.

Is Pythagoras only relevant in mathematics?

No, Pythagoras theorem is also used in various other subjects like physics, engineering, and computer science. It has significant applications in various industries like architecture, construction, and transportation.

That’s all for now, Sohib EditorOnline. We hope that this guide has helped you in understanding how to calculate Pythagoras. Remember that practice makes perfect, so keep practicing and you will master this theorem in no time.

Cara Menghitung Pythagoras