Answer:
The side lengths are 15 m and 24 m
Step-by-step explanation:
I like to work these in terms of "ratio units" and what they stand for.
If the ratio of side lengths is 5 : 8, the difference in ratio units is 8-5 = 3. That difference of 3 ratio units stands for a difference in actual side lengths of 9 m, so each ratio unit must represent 3 m.
Then the triangle sides are ...
5·(3 m) = 15 m
8·(3 m) = 24 m
