##### The Fascinating World of Prime Numbers

Mon, 27 May 2024

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Hey mathletes! Today, we're diving into a classic: the Pythagorean
Theorem. You might know it as the formula for right triangles (a^2 + b^2 =
c^2), but this theorem has some surprising applications!

**The Basics:**

Imagine a right angled triangle. The Pythagorean Theorem tells us that
the square of the hypotenuse (the longest side, opposite the right angle) is
equal to the sum of the squares of the other two sides.

**Beyond Triangles:**

This theorem isn't just for triangles! It can be used to solve
problems involving distances in squares, rectangles, and even 3D shapes. Here's
an example:

Imagine a square with side length "a." The diagonal
(line connecting opposite corners) will split the square into two right
triangles. The diagonal will have a length of "a√2" (a times the
square root of 2). How did we get this?

Think about one of the right triangles formed by the diagonal.
Each of the shorter sides (half the diagonal) has a length of "a/√2"
(a divided by the square root of 2). Using the Pythagorean Theorem, we get:

(a/√2)^2 + (a/√2)^2 = (diagonal)^2

which simplifies to a^2/2 + a^2/2 = a^2 * 2, and finally a^2 =
(diagonal)^2 / 2, so the diagonal is a√2.

**The Takeaway:**

The Pythagorean Theorem is a powerful tool that goes beyond right
triangles. It helps us understand relationships between sides and diagonals in
various shapes. So next time you see a square or rectangle, remember – there
might be a hidden Pythagorean connection waiting to be discovered!

**The Challenge:**

**Here’s a worksheet of the Pythagorean Theorem! Solve it and let us
know the answers in the comment section. If you feel you need more in depth
knowledge and lessons on the Pythagorean Theorem then watch our expert
teachers’ video lessons on this topic!**

Mon, 27 May 2024

Mon, 27 May 2024

Mon, 27 May 2024

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