Not really. If u = <-2, -2> and v = <-2, -10> are your two vectors, a vector that represents the main diagonal of the parallelogram is u + v. The other diagonal is given by u - v.Larrytsai said:Homework Statement
Find the length of the two diagonals of a paralellogram with the sides (-2,-2) and (-10,-2)
Homework Equations
The Attempt at a Solution
What I have tried is, I drew out the 2 vectors, and then drew out their components and used trig to find the angles where the connect. I also found the magnitude of both the vectors.
Am i on the right track?
A parallelogram diagonal is a line segment that connects two opposite vertices of a parallelogram.
The length of a parallelogram diagonal can be found using the Pythagorean Theorem, where the diagonal is the hypotenuse and the sides of the parallelogram are the legs.
Yes, the diagonals of a parallelogram are always equal in length.
Yes, the diagonals of a parallelogram can intersect at a right angle if the parallelogram is a rhombus, which has all sides equal in length.
The diagonals of a parallelogram are important because they divide the parallelogram into four congruent triangles, making it easier to calculate the area and perimeter of the shape.