Answer: The answer is x = 21, y = 5√21 and z = 2√21.
Step-by-step explanation: As given in the question and shown in the attached figure, ΔABC, ΔABD and ΔACD are all right-angled triangles. Here, AB = 10 and BD = 4, We need to find the values of 'x', 'y' and 'z'.
From the right-angled triangle ΔABD, we have after using Pythagoras theorem that

Again, from the right-angled triangles ΔABC and ΔACD, we have

and

Subtracting the above equation from the previous one, we have

And finally,

Thus, x = 21, y = 5√21 and z = 2√21.