the second side of a triangle is 6 inches longer than the first side. the third side is 2 inches shorter than the double the first side. the total perimeter of the triangle is 24 inches. find the lengths of all three sides of the triangle
If the short side is x, then
x + x+6 + 2x-2 = 24
Now, just find x and figure the sides.
First: 5
Second: 11
Third: 8
-1\6 added 2\3
Lcm of 6,3=6
-1\6 added 4\6=3\6 answer
To solve this problem, let's assign variables to represent the lengths of the sides of the triangle.
Let the first side be x inches.
The second side is then x + 6 inches (as it is 6 inches longer than the first side).
The third side is (2x - 2) inches (as it is 2 inches shorter than double the first side).
According to the given information, the total perimeter of the triangle is 24 inches. The formula for the perimeter of a triangle is the sum of the lengths of all three sides. Therefore, we can write the equation:
x + (x + 6) + (2x - 2) = 24
Simplifying the equation, we have:
4x + 4 = 24
Subtracting 4 from both sides of the equation:
4x = 20
Finally, dividing both sides by 4:
x = 5
So, the first side of the triangle is 5 inches.
The second side is 5 + 6 = 11 inches.
The third side is double the first side minus 2, which is 2(5) - 2 = 8 inches.
Therefore, the lengths of the sides of the triangle are 5 inches, 11 inches, and 8 inches.