Answer:
The first side = 2x = 2(4) = 8 cm
The second side = 5x = 5(4) = 20 cm
The third side = 8x = 8(4) = 32 cm
Explanation:
We can use the fact that the ratio of the sides of the triangle is 2:5:8 and the perimeter of the triangle is 60 cm to find the length of each side of the triangle.
First, we can use the ratio to find the ratio of the perimeter to the sides of the triangle: 2:5:8. Since the perimeter is 60 cm, we can set up the following equation:
2x + 5x + 8x = 60
where x represents the length of one side of the triangle in cm.
We can then simplify the equation:
15x = 60
To find the value of x, we can divide both sides of the equation by 15:
x = 4
So each side of the triangle is 4 cm long.
Therefore,
The first side = 2x = 2(4) = 8 cm
The second side = 5x = 5(4) = 20 cm
The third side = 8x = 8(4) = 32 cm