Discover How The Pythagorean Theorem Can Help Find Unknown Sides | Jones & Simon

Math can be a tricky subject, but luckily, there are formulas and theorems to help us solve problems with ease. One of the most famous and widely used theorems in mathematics is the Pythagorean Theorem. Whether you're a student, teacher, or just a math enthusiast, it's essential to have a good understanding of this important theorem.

What is the Pythagorean Theorem?

The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras. It states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed mathematically as:

a² + b² = c²

where a and b are the lengths of the two shorter sides (the legs) of the right-angled triangle, and c is the length of the hypotenuse.

How to Use the Pythagorean Theorem

The Pythagorean Theorem can be used to find the length of any missing side of a right-angled triangle, as long as the lengths of the other two sides are known. This makes it a valuable tool in many real-world situations, such as construction and architecture, engineering, and physics.

For example, let's say Simon Jones needs to find the length of a ladder he wants to buy to reach the roof of his house. He measures the height of the roof to be 6 meters and the distance from the house to the base of the roof to be 8 meters. Using the Pythagorean Theorem, he can find the length of the ladder:

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

c = √100

c = 10 meters

Therefore, Simon needs to buy a ladder that is at least 10 meters long to reach the roof of his house.

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