Answer:
Option E is correct
value of s is, 6 units
Step-by-step explanation:
Using Pythagoras theorem in right angle triangle:
[tex]\text{Hypotenuse side}^2=\text{Opposite side}^2+\text{Adjacent side}^2[/tex]
As per the statement:
In a given right angle triangle:
Hypotenuse side = [tex]\sqrt{72}[/tex] units
opposite side = 6 units
Adjacent side = s units
Solve for s;
Apply the Pythagoras theorem to the given triangle we have;
[tex](\sqrt{72})^2 = 6^2+s^2[/tex]
⇒[tex]72=36+s^2[/tex]
Subtract 36 from both sides we have;
[tex]36 = s^2[/tex]
or
[tex]s^2 = 36[/tex]
Since, side cannot be in negative
⇒[tex]s = \sqrt{36} = 6[/tex] units
Therefore, the value of s is, 6 units
