Answer:
3, 6 and 8
Step-by-step explanation:
In order to solve the problem, we call:
= length of the 1st side of the triangle
= length of the 2nd side of the triangle
= length of the 3rd side of the triangle
From the text of the question, we know that:
- One side of a triangle is twice the shortest side --> we can write this as
(1) (assuming "a" is the shortest side)
- The third side is five feet more than the shortest side. -->
(2)
- The perimeter is 17 feet -->
(3)
So now we have 3 equations with 3 unknown variables. Substituting (1) and (2) into (3) we can find the value of "a", the shortest side:
And so
So the lengths of the 3 sides are 3, 6 and 8.