the sides of a triangle are in the ratio 3:4:5.what is the length of each side if the perimeter of the triangle is 78cm?
3x+4x+5x = 78
12x =78
x = 6.5
3*6.5 = ?
4*6.5 = ?
5*6.5 = ?
To find the length of each side of the triangle, we first need to determine the common multiplier for the ratio 3:4:5.
The perimeter of a triangle is the sum of all its sides. In this case, the perimeter is given as 78 cm.
Let's assume the common multiplier is x.
So, the lengths of the sides become 3x, 4x, and 5x.
According to the information given, the sum of all sides should be equal to the perimeter. So we can set up the equation:
3x + 4x + 5x = 78
Combining like terms, we get:
12x = 78
Dividing both sides by 12, we find:
x = 78/12
x = 6.5
Now that we have the value of x, we can find the length of each side by multiplying x with the corresponding ratio:
First side: 3x = 3 * 6.5 = 19.5 cm
Second side: 4x = 4 * 6.5 = 26 cm
Third side: 5x = 5 * 6.5 = 32.5 cm
Therefore, the lengths of the sides of the triangle are 19.5 cm, 26 cm, and 32.5 cm.