SAT Question 9ec76b54: Right Triangles And Trigonometry answer and explanation with Desmos solution

Choice B is correct. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. It's given that the right triangle has legs with lengths of $28$ centimeters and $20$ centimeters. Let $c$ represent the length of this triangle's hypotenuse, in centimeters. Therefore, by the Pythagorean theorem, $28^2+20^2=c^2$, or $1,184=c^2$. Taking the positive square root of both sides of this equation yields $\sqrt{1,184}=c$, or $4\sqrt{74}=c$. Therefore, the length of this triangle's hypotenuse, in centimeters, is $4\sqrt{74}$.