Answer:
AC = 14.9
BC = 10.5
Explanation:
The triangle is a isosceles right triangle with ∠B = 90o, ∠A = ∠C = 45o.
Therefore AB = BC = 10.5
Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse, which is AC.
AC^2 = AB^2 + BC^2
AC^2 = 2AB^2
AC^2 = 2(10.5)^2
AC^2 = 220.5
AC = √220.5 = 14.85 or 14.9