if the lengths of a triangle are y, y-1 and 7 what is the length of the longest side if the perimeter is 65
add the three side and set it = to 65. Whhen you get a value for y, find out the other two sides and select the longest
To find the length of the longest side, we first need to determine the value of y.
Given that the lengths of the triangle are y, y-1, and 7, we can set up the equation for the perimeter of a triangle:
Perimeter = y + (y-1) + 7
Since the perimeter is given as 65, we can substitute this value into the equation:
65 = y + (y-1) + 7
Simplifying this equation, we get:
65 = 2y + 6
Now, isolate the variable y by moving the constant term to the other side of the equation:
65 - 6 = 2y
59 = 2y
Divide both sides of the equation by 2:
y = 59 / 2
y = 29.5
Now, we have the value of y. To find the length of the longest side, we substitute y into the given lengths:
Longest side = y = 29.5
Therefore, the length of the longest side of the triangle is 29.5.