The lengths of the three sides of a triangle are in the ratio 4:5:3. Find the length of each side if the perimetre of the triangle is 1.08?
3x+4x+5x = 1.08
12 x = 1.08
x = .09
3x = .27
4x = .36
5x = .45
To find the length of each side of the triangle, we can use the given ratio. Let's assume the common ratio is 'x'.
According to the given information, the ratio of the lengths of the sides is 4:5:3. We can write this as:
4x : 5x : 3x
Since the perimeter of a triangle is the sum of the lengths of its sides, we can express the perimeter as:
4x + 5x + 3x = 1.08
Now, let's combine like terms:
12x = 1.08
To solve for 'x', divide both sides of the equation by 12:
x = 1.08 / 12
x = 0.09
Now, substitute the value of 'x' back into the ratio expressions to find the length of each side:
Side 1: 4x = 4 * 0.09 = 0.36
Side 2: 5x = 5 * 0.09 = 0.45
Side 3: 3x = 3 * 0.09 = 0.27
Therefore, the lengths of the sides of the triangle are 0.36, 0.45, and 0.27.