We can construct an unique quadrilateral ABCD with AB = 4 cm, BC = 6 cm, AC = 7 cm, CD = 5 cm and BD = 8 cm.
You don't need to draw the full quadrilateral you just need to know the basic property of triangles - "The sum of the lengths of any two sides of a triangle is always more than the third side.”
Every quadrilateral is made of two triangles.
So if we can construct two triangles, we can construct the full quadrilateral. Here is a rough diagram of quadrilateral ABCD.
We have measures of AB, BC, AC, CD and BD. Also condition for conducting a triangle holds for △ABC and △BDC. So, we can construct the quadrilateral ABCD.