Hey there!
Formula for hypotenuse:
a^2 + b^2 = c^2
PLEASE TAKE NOTES ON FORMULAS SO QUESTIONS LIKE THIS WILL BE EASIER TO SOLVE :)
5 cm + 8 cm = x cm
5^2 + 8^2 = x^2
5 * 5 + 8 * 8 = x^2
25 + 64 = x^2
NEW EQUATION BUT IT DOES LEAD TO THE OVERALL ANSWER
89 = x^2
-x^2 = 89
-x^2 + 89 = 0
SUBTRACT 89 to BOTH SIDES
-x^2 + 89 - 89 = 0 - 89
SIMPLIFY IT!
-x^2 = -89
DIVIDE -1 to BOTH SIDES
-x^2/-1 = -89/-1
SIMPLIFY IT!
x = ± √89
Thus, this means:
x = -√89 or x = √89
SIMPLIFY THAT & YOU WILL HAVE YOUR RESULT!
x = 9.433981
x ≈ 9.43
Therefore, the answer should be:
Option A. x = 9.43
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)