The perimeter of a triangle is 76 centimeter. The second side is twice as long as the frist side. The thrid side is four centimeter shorter than the second side. How long is each side?
16
To find the lengths of the sides of the triangle, let's start by assigning variables to represent the lengths.
Let x be the length of the first side.
Since the second side is twice as long as the first side, the length of the second side would be 2x.
And the length of the third side, which is four centimeters shorter than the second side, would be 2x - 4.
According to the given information, the perimeter of the triangle is 76 centimeters. The perimeter of a triangle is the sum of the lengths of all its sides.
Therefore, we can form an equation to solve for x:
x + 2x + (2x - 4) = 76
Simplifying the equation, we combine like terms:
5x - 4 = 76
Next, isolate the variable by adding 4 to both sides of the equation:
5x = 80
Finally, divide both sides of the equation by 5 to solve for x:
x = 16
So, the first side is 16 centimeters long.
Now, we can find the lengths of the second and third sides:
The second side is twice as long as the first side: 2x = 2(16) = 32 centimeters.
The third side is four centimeters shorter than the second side: 2x - 4 = 2(16) - 4 = 28 centimeters.
Therefore, the lengths of the sides of the triangle are: 16 cm, 32 cm, and 28 cm.
Let x = the length of the first side.
x + 2x + (2x-4) = 76
5x - 4 = 76
5x = 80
x = ?