The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii. x = inches

Answer:6√2 ≈ 8.485 inchesStep-by-step explanation:The radii and the chord together make an isosceles right triangle with legs 6 inches long. The hypotenuse of such a triangle is √2 times the leg length. So, the chord will be 6√2 in long._____Comment on isosceles right triangleIt is worth remembering that the hypotenuse of an isosceles right triangle is √2 times the leg length. This is easily found using the Pythagorean theorem:... c² = a² + b²... c² = 1² + 1² = 2 . . . . for legs of length 1... c = √2 . . . . . . . . . . take the square root. Scale this result as needed for any particular problem. Here, the scale factor is 6 inches.