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