Answer:
First side = 12 units
Second side = 24 units
Third side = 16 units
Step-by-step explanation:
First, we can assign variables for each side of the triangle to make it easier:
A = side 1
B = side 2
C = side 3
The length of the second side of the triangle is twice the length of the first side, so we know that B is twice the length of A. We can represent this in an equation like this:
B = A * 2
The length of the third side is 4 units more than the first side. This tells us that C is going to be 4 more than A:
C = A + 4
And finally, the perimeter of the triangle is 52 units. Since the perimeter is just all the sides added together, we can create this equation:
A + B + C = 52
To start solving for lengths, I'm going to plug in the first two equations we got into the third equation:
A + B + C = 52
A + (A * 2) + (A + 4) = 52
1A + 2A + 1A + 4 = 52
4A + 4 = 52
4A = 48
A = 12
Now that we know what A is, we can solve for the other two variables:
B = A * 2
B = 12 * 2
B = 24
C = A + 4
C = 12 + 4
C = 16
Now we have all three variables, just don't forget what the variables represent (first side, second side, third side).
