Answer:
QX = 5.7 units
Step-by-step explanation:
Here, we want to find the value of QX
let us call this h
For a rectangle, the parallel sides have equal side lengths, and the angle at each corner is a right angle
Since X is the midpoint of SR, then XR is 1/2 * 8 = 4
So we have an isosceles right triangle in QXR, with QX as the hypotenuse since it is the side that faces the right triangle
Mathematically, for a right triangle, the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
h^2 = 4^2 + 4^2
h^2 = 16 + 16
h^2 = 32
h = √32
h = 5.7
