Answer:
x = 6.93 cm
Step-by-step explanation:
Pythagorean theorem: c = [tex]\sqrt{a^2 + b^2}[/tex]
C is the hypothenuse, the longest side of a right angled triangle.
Here c = 8, 4 =a, b = x.
[tex]8 = \sqrt{(4)^2+(b)^2}[/tex]
[tex]64 = (4)^2 + (b)^2[/tex]
[tex]64 = 16 + (b)^2[/tex]
[tex]b^2 = 48\\b = \sqrt{48} = 6.93 cm[/tex]
