SAT Question f811d345: Right Triangles And Trigonometry answer and explanation with Desmos solution

Math - Right Triangles And Trigonometry - Pythagorean Theorem
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A right triangle has legs with lengths of centimeters and centimeters. If the length of this triangle's hypotenuse, in centimeters, can be written in the form , where is an integer, what is the value of ?

65
Difficulty:Hard