The ratio of the length AC to BC is 11:18
Distance between two points
The formula for calculating the distance between two points is expressed as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For the length AC
[tex]AC = \sqrt{(-9)^2+(6)^2} \\AC = \sqrt{(-14+5)^2+(12-6)^2} \\AC = \sqrt{81+36} \\AC\approx 11[/tex]
For the length of BC
[tex]BC = \sqrt{(15)^2+(10)^2} \\BC = \sqrt{225+100} \\BC\approx 18[/tex]
Hence the ratio of the length AC to BC is 11:18
Learn more on midpoint here: https://brainly.com/question/5566419
