Geometry, especially when it comes to triangles and squares.
In real life its not useful, unless you're going to need geometry in the career you choose.
I guess, the BPT is used in Tiles & Painting and so on... It can be useful as paintings, tiles & many other things as such require precision & BPT helps to make sure that its in proportional. The theorem states that when a line is drawn parallel to one side of the triangle (inside it) it divides the other two sides of the same triangle in equal proportions. Similar is the Converse and it proves true. BPT stands for Basic Proportionality Theorem & was discovered by Thales. I hope this satisfies your question.
Algebra is a tremendously useful mathematical tool, without which modern science and technology would not have been possible. Algebra was invented as a tool for solving mathematical problems, and it has proved to be tremendously useful. Modern technology as we know it would have been impossible without the use of algebra. +++ More accurately, algebra is the set of symbols and rules used to construct mathematics. It is not a calculating tool to solve problems in its own right, but allows you to express the ways in which to solve those problems.
The superposition theorem is particularly useful for analyzing multiple-source linear circuits because it allows for the simplification of complex circuit behaviors by considering the effect of each independent source separately. By temporarily deactivating all but one source and analyzing the circuit response, engineers can easily calculate the contribution of each source to the overall circuit response. This method reduces computational complexity and enhances clarity in understanding how different sources interact, making it easier to predict circuit behavior without solving the entire circuit simultaneously.
useful
In real life its not useful, unless you're going to need geometry in the career you choose.
It enabled them to make right angles - useful in construction.
Yes, it is useful everywhere lengths need to be found that can not be directly measured.
The Pythagorean theorem is used today for the same thing it was invented for: to describe the relationship between the length of the three sides of a right triangle. Using the Pythagorean theorem, you can find the the length of the third side of a right triangle with two known lengths. This can be useful in a variety of math-based situations, such as when you need to determine the distance between two known points on a graph.
The Pythagorean theorem can be applied in real life to determine the shortest distance between two points, such as when measuring the diagonal distance across a rectangular space, like a room or a yard. It is also useful in construction, where ensuring that walls are square requires checking that the lengths of the sides of a right triangle formed by the walls adhere to the theorem. Additionally, it can be applied in navigation or mapping to calculate straight-line distances between locations.
The Pythagorean theorem can be applied in daily life for various practical purposes, such as determining the shortest distance between two points. For example, if you're planning to build a fence in a rectangular yard, you can use the theorem to ensure the corners are square by measuring the diagonal. Additionally, it can be useful in design and construction projects to ensure right angles or when calculating dimensions for tiling or flooring. Overall, it helps in problem-solving situations that involve right triangles.
Amongst other things, it helped ancient builders measure out right angles. That is quite a useful trick when you are trying to build walls that are vertical - assuming you would like them to remain standing!
The Pythagorean Theorem (A² + B² = C² ) is used to help you find the hypotenuse (long side of a right triangle.) For example imagine that the 2 legs of a right triangle are 10 and 12 and you are trying to find out the long side (hypotenuse.) what you have to do is plug in the numbers in the formula. Step1:10²+12²=c² do 10 times 10 because it is squared and do the same with 12 and should look like this: Step 2: 10²= 100 , and 12²=144 Then what you do is add 100+144 Step 3: 100+144=244 Last step is to find the square root 144 to find what c² is Step4: 144 square root= 15.6 and if your rounding it its 16 and you know it right if the hypotenuse is more then the 2 legs And that's the Pythagorean Theorem
Yes it is .
to find the missing side of a triangle
yes it is
Scientific notation is useful in mathematics because it makes very large or very small numbers easier to compute.