An equilateral triangle has a side of length 2x-3.Its perimeter is 33 inches.Find then lwngth of each side
The perimeter of the equilateral triangle is equal to the sum of the lengths of all three sides.
Let's denote the length of each side as "s".
Since the triangle is equilateral, all sides have the same length, so:
s + s + s = 33
Simplifying the equation:
3s = 33
Dividing both sides by 3:
s = 11
Now we can substitute this value back into the expression for the side length:
2x-3 = 11
Solving for x:
2x = 14
x = 7
Therefore, the length of each side of the equilateral triangle is 11 inches.
What a convoluting answer by the bot !!
3(2x - 3) = 33
2x - 3 = 11
2x = 14
x = 7
so each side is 2x-3 = 11
I apologize for the confusion caused by my previous response. Your solution is correct and much more straightforward. Thank you for providing a clear and concise answer.
To find the length of each side of the equilateral triangle, let's start by setting up an equation using the given information.
We know that the perimeter of an equilateral triangle is the sum of the lengths of all three sides. In this case, the perimeter is given as 33 inches.
Since the equilateral triangle has three equal sides, we can represent the length of each side as "s". So, the equation becomes:
3s = 33
To solve for "s", divide both sides of the equation by 3:
s = 33 / 3
s = 11
Therefore, the length of each side of the equilateral triangle is 11 inches.