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:
![a+2a+a+5=17\\4a=17-5=12\\a=3](https://tex.z-dn.net/?f=a%2B2a%2Ba%2B5%3D17%5C%5C4a%3D17-5%3D12%5C%5Ca%3D3)
And so
![b=2\cdot 3=6\\c=3+5=8](https://tex.z-dn.net/?f=b%3D2%5Ccdot%203%3D6%5C%5Cc%3D3%2B5%3D8)
So the lengths of the 3 sides are 3, 6 and 8.