Answer:
option c. ±[tex] \sqrt{65} [/tex]
Step-by-step explanation:
In the given right angled triangle we can see that :-
- hypotenuse is 9
- adjacent is 4
- opposite is x
by Pythagoras theorem
hypotenuse² = adjacent ² + opposite ²
9² = 4² + x²
81 = 16 + x²
combining like terms
81 - 16 = x²
65 = x²
x = ±[tex] \sqrt{65} [/tex]
