Answer:
Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3
Explanation:
We can set up a proportion comparing the sides of the original triangle to the new triangle.
The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.
We can write 3 ratios, with the length of the new triangle over the length of the old triangle.
8/12 e/9 f/5
To figure out e and f, put each ratio equal to 8/12.
8 = e Then multiply both sides of the equation by 9 and get 72 = e, 6=e.
12 9 12
8 = f Then multiply both sides of the equation by 9 and get 40 = f, 10=f.
12 5 12 3
10/3 can be rewritten as 3 1/3.