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Pythagorean Theorem in 3D Shapes Name: Date: Directions: Use the Pythagorean Theorem to find the missing length in the three-dimensional shape. 1. A 45-meter rope is attached inside an empty cylindrical
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How to fill out pythagorean formorem in 3-d

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How to fill out the Pythagorean formula in 3-D:

01
Find the lengths of the three sides of the right-angled triangle in 3-D. These sides are usually denoted as a, b, and c.
02
Decide which side you want to find the length of. Let's say we want to find the length of side c.
03
Use the Pythagorean formula, which 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. In this case, the formula becomes a^2 + b^2 = c^2.
04
Square the lengths of sides a and b, and add them together.
05
Take the square root of the sum calculated in step 4 to find the length of side c. This will give you the distance between the two end points of the hypotenuse in 3-D space.

Who needs the Pythagorean formula in 3-D:

01
Engineers and architects use the Pythagorean formula in 3-D to calculate distances and angles in three-dimensional structures. For example, when building a staircase or determining the diagonal length of a box, the Pythagorean formula helps ensure the correct dimensions.
02
Surveyors also use this formula when measuring distances between points in three-dimensional space, such as when mapping out land or creating topographic maps.
03
Scientists and researchers in various fields, such as physics, computer graphics, or 3-D modeling, utilize the Pythagorean formula in 3-D to solve mathematical problems and analyze geometric relationships. It is a fundamental tool in many areas of study that involve three-dimensional calculations.
In summary, understanding how to fill out the Pythagorean formula in 3-D is essential for professionals working in fields that require measuring distances, calculating angles, or analyzing three-dimensional structures. From engineers and architects to surveyors and scientists, the Pythagorean formula in 3-D is a valuable tool in their work.
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Pythagorean formorem in 3-d is a mathematical equation used to calculate the distance between two points in three-dimensional space.
Pythagorean formorem in 3-d is typically used by mathematicians, engineers, and scientists working in three-dimensional space.
To calculate the distance between two points in three-dimensional space using the Pythagorean formula, you need the coordinates of the two points.
The purpose of Pythagorean formorem in 3-d is to determine the distance between two points in three-dimensional space.
The information needed to calculate the distance using the Pythagorean formula includes the coordinates of the two points in three-dimensional space.
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