Answer:
z = 6√2 = 8.49
Step-by-step explanation:
In this question, we are to find the value of the length z.
Mathematically, using Pythagoras’s theorem we can do this.
The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.
Kindly note that the hypotenuse is the side that faces the angle 90
These are the points needed to solve for z
Using Pythagoras,
z^2 = y^2 + 4^2
z^2 = y^2 + 16 •••••••(i)
x^2 + z^2 = 20^2
x^2 + z^2 = 400 •••••••••(ii)
z^2 + 16^2 = x^2. ••••••••(iii)
Substitute iii into ii
z^2 + 16^2 + z^2 = 400
2z^2 + 256 = 400
2z^2 = 400-256
2z^2 = 144
z^2 = 72
z = √(72)
z = 6√2
