Diagonals of a Rectangle
How to solve the diagonals of a rectangle problems: property, example, and its solution.
formed by bisecting diagonals of a rectangle
are all congruent.
Recall that the segments
formed by diagonals of a parallelogram
are not all congruent:
segments from different diagonals are not congruent.
The blue segments are all congruent: 5.
See the right triangle
whose base is the brown side.
Its hypotenuse is 10. (= 5 + 5)
And its legs are 6 and x.
So this is similar to a (3, 4, 5) triangle.
Draw a (3, 4, 5) triangle next to the right triangle.
The left triangle is × 2 bigger.
So x = 2⋅4.