To find the value of AC, we first need to find the value of AB. Given that AC = 2AB and that the sum of the angles in a triangle is 180°, we can use the Pythagorean theorem and trigonometry to solve for AB.
Let x represent AB. AC = 2x AB = x BC = 20
Using the Pythagorean theorem: (AB)^2 + (BC)^2 = (AC)^2 x^2 + 20^2 = (2x)^2 x^2 + 400 = 4x^2 3x^2 = 400 x^2 = 133.33 x = 11.548
To find the value of AC, we first need to find the value of AB. Given that AC = 2AB and that the sum of the angles in a triangle is 180°, we can use the Pythagorean theorem and trigonometry to solve for AB.
Let x represent AB.
AC = 2x
AB = x
BC = 20
Using the Pythagorean theorem:
(AB)^2 + (BC)^2 = (AC)^2
x^2 + 20^2 = (2x)^2
x^2 + 400 = 4x^2
3x^2 = 400
x^2 = 133.33
x = 11.548
Therefore, AC = 2x = 2(11.548) = 23.096
So, the value of AC is 23.096.