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Solution
Let’s name your triangle sides a, b and c. Now if we translate your problem we can say that ratio of a:b:c is the same as 8:15:17 or we can write:
a/8=b/15=c/17
Since these ratio are the same, let cal this ratio k, so
a/8=b/15=c/17=k
From here we can write:
a=8k
b=15k
c=17k (by cross multiplication)
Now let’s use last given information perimeter is 136
a+b+c=136
8k+15k+17k=136
40k=136
k=3.4
Now, using ratio k you can find each side:
a=8×3.4=27.2
b=15×3.4=51
c=17×3.4=57.8