A right triangle has legs with lengths of 11 centimeters and 9 centimeters. What is the

Choice B is correct. The Pythagorean theorem states that for a right triangle, $c^2=a^2+b^2$, where $c$ represents the length of the hypotenuse and $a$ and $b$ represent the lengths of the legs. It’s given that a right triangle has legs with lengths of $11$ centimeters and $9$ centimeters. Substituting $11$ for $a$ and $9$ for $b$ in the formula $c^2=a^2+b^2$ yields $c^2={11}^2+9^2$, which is equivalent to $c^2=121+81$, or $c^2=202$. Taking the square root of each side of this equation yields $c=\pm \sqrt{202}$. Since $c$ represents a length, $c$ must be positive. Therefore, the length of the triangle’s hypotenuse, in centimeters, is $\sqrt{202}$.

Choice A is incorrect. This is the result of solving the equation $c^2=11\left(2\right)+9\left(2\right)$, not $c^2={11}^2+9^2$.

Choice C is incorrect. This is the result of solving the equation $c\left(2\right)=11\left(2\right)+9\left(2\right)$, not $c^2={11}^2+9^2$.

Choice D is incorrect. This is the result of solving the equation $c={11}^2+9^2$, not $c^2={11}^2+9^2$.