Construct the rectangle that contains the right angle subtended by the vectors. Calculate or construct the diagonal of the rectangle. The diagonal is the hypotenuse of a right triangle with the two vectors as sides. The hypotenuse is also the vector that is the sum of the two original vectors. Calculate the magnitude of that vector by applying the theorem.
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.
The Pythagorean theorem is used to find the length of a side of a right triangle knowing the length of the other two side.
The Pythagorean Theorem states that a2 + b2 = c2, where c is the longest side (opposite the right angle). Replace the sides you know, and solve for the other side.
the square on the hypoteneuse is equal to the sum of the squares on the other two sides.
a2 + b2 = c2 a = a leg of the triangle, b = the other leg of the triangle, and c = the hypotenuse
The triangle concerned MUST be a right-angle triangle. If one of the angles is not 90 degrees, you cannot use the Pythagorean theorem! Also, it must be remembered that the theorem only involves the magnitudes (lengths of the sides), you can't use it on i-j-k vectors or the like, only their magnitudes. As a result, it cannot tell us anything about the directions or angles between lines. Other than that, the Pythagorean theorem is incredibly sound!
Like with all other right triangles, use the Pythagorean Theorem. If you have 2 vectors that form a right triangle, the resultant should be the hypotenuse. So you just need to square both of the vectors, add them together, then take the square root. a2+b2=c2
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.
The Pythagorean theorem is used to develop the equation of the circle. This is because a triangle can be drawn with the radius and any other adjacent line in the circle.
The Pythagorean theorem is used to find the length of a side of a right triangle knowing the length of the other two side.
Pythagoras did not borrow the Pythagorean Theorem from any particular civilization. The theorem, which states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides, was discovered by Pythagoras himself and is named after him.
Since the Pythagorean theorem has 3 variables (the 3 sides), and you only know one variable, you cannot use it to solve for the other 2 variables. Do you know any other information (like angles)? that can be used to solve the triangle (you would not be using the Pythagorean theorem, though). Did they mark the 2 legs with little 'tick marks' denoting that they are equal? Then you could use the Pythagorean theorem because then you know 2 varaibles, and you can solve for the third variable.
Pythagorus, remember he made other theories too like the Pythagorean Theorem.
Trig., Calculus.
Sum the squares of the other two legs of the triangle. This is the Pythagorean Theorem.
The formula for the Pythagorean Theorem is a2+b2=c2 :] The Pythagorean Theorem is finding the measurements in a right triangle. The side of the triangle across from the right angle is called the hypotenuse and the two other sides are called the legs :3 I hope I could help! <3
In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a relation in Euclidean geometry among the three 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.