what is a pythagorean theorem? How is it used?
Pythagorean theorem:
a^2 + b^2 = c^2
It's used to find one side of a right triangle.
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what is number 55% of 180
The Pythagorean theorem is a fundamental principle in geometry that relates to the 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.
To understand how it is used, consider a right triangle with sides a, b, and c, where c represents the hypotenuse:
a² + b² = c²
This equation allows you to find the length of any side of a right triangle if you know the lengths of the other two sides. You can use it to solve various real-world problems involving distances, such as measuring the diagonal length of a rectangular field, finding the distance between two points on a map, or determining the length of a ladder needed to reach a certain height on a wall.
To apply the Pythagorean theorem, you need to know the lengths of two sides of a right triangle. If you only know the lengths of the two shorter sides, you can rearrange the equation to solve for the unknown side:
- If you know a and b, you can find c by taking the square root of the sum of their squares: c = √(a² + b²).
- If you know a and c, you can find b by subtracting a from the square root of c²: b = √(c² - a²).
- If you know b and c, you can find a by subtracting b from the square root of c²: a = √(c² - b²).
By using the Pythagorean theorem, you can analyze and calculate various properties of right triangles to solve geometrical and practical problems.