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Answer:
The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.
Step-by-step explanation:
Assuming that the shortest side of this triangle has a length of "x" feet, then one side is "x + 4" feet and the third is "2*x - 4" feet. Since the perimeter of the deck is 80 feet, then the sum of the length of these sides should be equal to that.
[tex]x + x + 4 + 2*x - 4 = 80\\4*x = 80\\x = \frac{80}{4} = 20 \text{ feet}\\[/tex]
The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.
The length of three sides of the triangle are 20 feet, 24 feet and 36 feet
Given :
Let 'x' be the shortest side of the triangle
one side that is 4 feet longer than the shortest side
so one side is 4 feet more than the shorter side
x+4
a third side that is 4 feet shorter than twice the length of the shortest side
third side is [tex]2x-4[/tex]
Perimeter of the triangle is sum of all the three sides
Perimeter = x + (x+4)+(2x-4)
Given perimeter is 80 feet
[tex]x + (x+4)+(2x-4)=80\\4x=80\\x=20[/tex]
The shortest side is 20 feet
One side is x+4= 20+4=24 feet
Largest side =[tex]2x-4=2(20)-4= 36feet[/tex]
The length of three sides are 20 feet, 24 feet and 36 feet
Learn more : brainly.com/question/8313793
