Let x be the length of AC and 7x be the length of AB.
According to the given ratio, AC/AB = 2/7, which means x/7x = 2/7.
Solving for x:x/7x = 2/71/7 = 2/71 = 2
This shows that there is an error in the given ratio. Let's assume the correct ratio is AC:AB = 7:2.
Now, AC:AB = 7:2AC = 7xAB = 2x
Given that BC = 10, we can find the length of AC and AB:7x + 2x = 109x = 10x = 10/9
So, the length of AC is:AC = 7x = 7(10/9) = 70/9
And the length of AB is:AB = 2x = 2(10/9) = 20/9
Therefore, the lengths of AC and AB are 70/9 and 20/9, respectively.
Let x be the length of AC and 7x be the length of AB.
According to the given ratio, AC/AB = 2/7, which means x/7x = 2/7.
Solving for x:
x/7x = 2/7
1/7 = 2/7
1 = 2
This shows that there is an error in the given ratio. Let's assume the correct ratio is AC:AB = 7:2.
Now, AC:AB = 7:2
AC = 7x
AB = 2x
Given that BC = 10, we can find the length of AC and AB:
7x + 2x = 10
9x = 10
x = 10/9
So, the length of AC is:
AC = 7x = 7(10/9) = 70/9
And the length of AB is:
AB = 2x = 2(10/9) = 20/9
Therefore, the lengths of AC and AB are 70/9 and 20/9, respectively.