The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of the shortest side?

If the longest side on the similar triangle is 51 and the longest side of the first triangle is 17, then you divide 51 and 17.

51 / 17 = 3

So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.

8 * 3 = 24

The length of the shortest side of the similar triangle is 24.

Hope this helps!