One side of the triangle is twice as long as the second side. The remaining side is 4cm greater than the second side. The perimeter of the triangle is 24cm.Find the length of each side of the triangle.
You could use the guess and check method
If the 2nd side is x, then
2x + x + x+4 = 24
Now just find x, which is the 2nd side. Then it is easy to figure the other two sides.
To find the length of each side of the triangle, you can use the given information and solve for the lengths step by step. Let's denote the second side of the triangle as 'x'.
According to the problem, one side of the triangle is twice as long as the second side. Therefore, the length of this side can be expressed as '2x'.
The remaining side is 4cm greater than the second side. So, the length of this side can be expressed as 'x + 4'.
The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 24cm. Therefore, we can write the equation:
x + 2x + (x + 4) = 24
This equation represents the sum of the lengths of the three sides of the triangle equalling the perimeter.
Now, let's simplify and solve the equation:
x + 2x + x + 4 = 24
4x + 4 = 24
4x = 20
x = 5
Now we substitute this value of x back into the expressions for the other sides to find their lengths.
The first side: 2x = 2 * 5 = 10cm
The second side: x = 5cm
The third side: x + 4 = 5 + 4 = 9cm
Therefore, the lengths of the sides of the triangle are 10cm, 5cm, and 9cm, respectively.