Answer:
BC < AB < AC
Explanation:
To evaluate the side lengths we first need to find the angle measures:
the sum of interior angle in a triangle is equal to 180
5x + 50 + 7x + 8 + 10x = 180 add like terms
22x + 48 = 180 subtract 48 from both sides
22x = 132 divide both sides by 22
x = 6
now the angle measure are
A = 50
B = 70
C = 60
The longest side is the one that sees the biggest angle so AC is the longest and BC is the shortest side length therefore we can list them from shortest to longest as follows :
BC < AB < AC