The length of the sides of a triangle are in the extended ration 3 : 10 : 12. the perimeter is 400 cm. what is the length of the longest side in centimeters

If the length of the sides of this triangle are in the extended ration: 3: 10:12; then we can express the length of its sides as: 3x, 10x and 12x.

The length of the longest side will be: 12x

Perimeter of a rectangle is the sum of all sides.

Therefore

We can suggest the following equation:

3x+10x+12x=400

25x=400

x=400/25

x=16

Therefore; the length of the sides would be:

3x=3 (16) = 48

10x=10 (16) = 160

12x=12 (16) = 192

Answer: the length of the longest side would be 192 cm.