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Someone help me with this fast

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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

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

Option A. x = 9.43

$$x=9.43$$
$$\text{Apply Pythagorean theorem,}\\\\~~~~~~~~x^2 = 5^2 +8^2\\\\\implies x^2 = 25 +64\\\\\implies x^2 = 89\\\\\implies x =\sqrt{89}\\\\\implies x \approx 9.43$$