a2+b2= c2where c is the hypotenuse or the longest side (side opposite the right angle or the side oppositeTo 90 degrees); a and b are other sides of the triangle.
Its useful when you need to find the length of any one side of a right angled traingle.
to find the missing side of a triangle
In real life its not useful, unless you're going to need geometry in the career you choose.
in simplifying complex circuits and for different loads this theorem proven very useful
Geometry, especially when it comes to triangles and squares.
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.
well... one of its uses can be as follows: you see trigonometry deals with right angles right, so through the Pythagoras theorem you can find out the sides of the triangle, without which trig would be impossible!
Varignon's Theorem states that the moment of a force about a point is equal to the sum of the moments of its components about the same point. This theorem is particularly useful in mechanics for simplifying the analysis of systems with multiple forces acting on a body. By resolving a force into its components and applying the theorem, one can easily calculate the resultant moment. It highlights the principle of superposition in mechanical systems.
The midsegment theorem states that a segment connecting the midpoints of two sides of a triangle is parallel to the third side and its length is half that of the third side. This theorem helps establish relationships between the sides of triangles and is useful in various geometric proofs and constructions. By identifying midpoints and applying the midsegment theorem, one can simplify complex geometric problems.
The Remainder Theorem states that for a polynomial ( f(x) ), if you divide it by a linear factor of the form ( x - c ), the remainder of this division is equal to ( f(c) ). This means that by evaluating the polynomial at ( c ), you can quickly determine the remainder without performing long division. This theorem is useful for factoring polynomials and analyzing their roots.
The impulse momentum theorem states that the change in momentum of an object is equal to the impulse applied to it. Mathematically, it is represented as FΔt = Δp, where F is the force applied, Δt is the time over which the force is applied, and Δp is the change in momentum of the object. This theorem is useful in analyzing collisions and calculating the effects of forces on objects.
The exterior-angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. This theorem helps in understanding the relationships between the angles of a triangle and is useful for solving various geometric problems. It emphasizes that the exterior angle is always greater than either of the interior angles it is not adjacent to.