Pythagorean TheoremRight Triangles

The Pythagorean Theorem is a fundamental concept in mathematics and geometry, used to calculate the length of the sides of right-angled triangles. This theorem, credited to the ancient Greek philosopher and mathematician Pythagoras, 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.

Is Pythagorean theorem only for right triangles?

The Pythagorean Theorem can be expressed in a simple formula:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (known as the legs). The theorem holds true for all right-angled triangles, regardless of their size or shape.

Applications of Pythagorean Theorem

The Pythagorean Theorem has numerous applications in various fields, such as architecture, engineering, and physics. It can be used to calculate distances, heights, and angles in real-world scenarios. For example:

• Construction: Builders and architects use the Pythagorean Theorem to ensure accurate measurements and ensure that structures are level and stable.
• Navigation: The theorem is used in navigation to calculate distances between two points on a map or in locating the position of an object in space based on its distance from various points.
• Physics: The Pythagorean Theorem is used in physics to calculate the force and velocity of projectiles, as well as in calculating the tension and velocity of string waves.

Download Pythagorean Theorem PDF

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