perimeter = 24 feet

triangle that have

one side is b =?
second side is b =?
third side is b - 3 =?

How to solve this problem?

3b - 3 = 24

3b = 27
b = 9

Two sides = 9 feet each. The third side = 6 feet

Thank you so much!

You're very welcome.

To solve this problem, we need to use the concept that the perimeter of a triangle is simply the sum of the lengths of its three sides.

Let's assign variables to each side of the triangle:

Let the first side be "a",
the second side be "b",
and the third side be "c".

According to the provided information, we know that "b-3" represents the length of the third side.

Given that the perimeter of the triangle is 24 feet, we can set up the equation:

Perimeter = a + b + c = 24

Since "c" is represented by "b-3", the equation can be rewritten as:

a + b + (b-3) = 24

Now, we can solve for the variables.

Combining like terms:

2b - 3 + a = 24

Rearranging the equation:

2b + a = 27

At this point, it is not possible to find the individual values of "a" and "b" because there is only one equation and two unknowns. However, we can still find the possible values of "b" by considering different values for "a".

For example, let's assume a = 1:

2b + 1 = 27
2b = 27 - 1
2b = 26
b = 26/2
b = 13

Therefore, when a = 1, b = 13.

Similarly, you can substitute different values for "a" to find possible values for "b". However, it is not possible to find an exact solution for "b" without any additional information about "a".

To summarize, the possible value(s) of "b" can be found by solving the equation 2b + a = 27, but without more information, we cannot determine the exact value(s) of "b".