B is the midpoint of AC. FInd BC if AB=3x-4 and AC=58

Since B is the midpoint, then

AB = (1/2)AC
3x-4 = (1/2)(58)
3x = 29+4
x = 11

To find the length of BC, we first need to determine the value of x.

Given that B is the midpoint of AC, we can use the midpoint formula:

Midpoint = (x₁ + x₂)/2

In this case, B is the midpoint, so we have:

AB = BC = AC/2

Using the information given:

AB = 3x - 4
AC = 58

Since B is the midpoint, AB = BC, we have:

3x - 4 = 58/2

Simplifying the equation:

3x - 4 = 29

Adding 4 to both sides:

3x = 33

Dividing both sides of the equation by 3, we get:

x = 11

Now that we have found x, we can substitute it back into the equation for BC:

BC = AB = 3x - 4

BC = 3(11) - 4

BC = 33 - 4

BC = 29

Therefore, the length of BC is 29.

To find BC, we need to understand that the midpoint of a line segment divides it into two equal parts. In this case, B is the midpoint of AC, which means that AB is equal to BC.

Given that AB = 3x - 4 and AC = 58, we can set up an equation to solve for BC:

AB = BC

Substituting the values into the equation, we have:

3x - 4 = BC

Since AB and BC are equal according to the midpoint property, we can equate the two expressions:

3x - 4 = BC

Now, to find the value of x, we need additional information. Without it, we cannot determine the exact value of BC.