Answer
15, 25, and 30 meters
Work Step by Step
Let's assume the shortest side is x. Then, the three sides of the triangle are $x$, $2x$, and $x+10$. The sum of the sides is the perimeter, so $x+2x+(x+10)=70$.
Combining terms gives:
$4x+10 = 70$
Subtract both sides by 10:
$4x = 60$
Divide both sides by 4:
$x = \frac {60}{4} = 15$
Plugging in the value for $x$ into $x+10$ and $2x$ gives that the length of the 3 sides are 15, 25, and 30.