The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the longest side?

91 meters

Step-by-step explanation:

If the ratio of the sides of a triangle is 2:6:7 then the sides of the triangle are

2x, 6x and 7x for some number x

The perimeter of the triangle is 195 meters, so

2x+6x+7x = 195 = ==> 15x = 195 = ==> x = 195/15 = ==> x = 13

The longest side is 7x, hence the longest side is

7*13 = 91 meters