Answer:
C. [tex] \sqrt{48} [/tex]
Step-by-step explanation:
Applying the leg rule which is given as:
Hypotenuse/leg = leg/part
Hypotenuse = 8 cm
Leg = z
Part = 6 cm
Plug in the values
[tex] \frac{8}{z} = \frac{z}{6} [/tex]
Cross multiply
[tex] z*z = 8*6 [/tex]
[tex] z^2 = 48 [/tex]
[tex] \sqrt{z^2} = \sqrt{48} [/tex]
[tex] z = \sqrt{48} [/tex]
