Pythagorean Theorem Worksheets

Pythagorean Theorem Worksheets Free and Printable

These Pythagorean Theorem worksheets are downloadable, printable, and come with corresponding printable answer pages. In mathematics, the Pythagorean theorem is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Test your knowledge with these Pythagorean Theorem Worksheets.

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The Pythagorean Theorem is a really important idea in math, and it’s named after a Greek mathematician named Pythagoras. It’s all about right triangles, which are triangles with one angle that’s 90 degrees, like the corner of a book.

Here’s what the Pythagorean Theorem says in a simple way:

“In a right triangle, the square of the length of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the other two sides.”

Now, let’s break that down a bit:

1. Right Triangle: This is a special kind of triangle with one 90-degree angle. The other two angles are smaller, and we call them acute angles.
2. Hypotenuse: This is the longest side of the right triangle, and it’s the one opposite to the 90-degree angle.
3. Squares: To find the square of a number, you multiply it by itself. So, if you have a number like 3, its square would be 3 x 3, which is 9.
4. Sum: This means adding things together. So when we say “the sum of the squares,” we’re talking about adding up the squares of the two shorter sides.

In simple terms, the Pythagorean Theorem helps us figure out the length of one side of a right triangle if we know the lengths of the other two sides. It’s like a secret math tool to solve triangle puzzles! Here’s the formula in math language:

c² = a² + b²

Where:

• “c” is the length of the hypotenuse.
• “a” and “b” are the lengths of the other two sides.

So, if you know the lengths of two sides of a right triangle, you can use this formula to find the length of the third side. It’s a cool trick that helps us understand and work with triangles in math!

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