The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,

what is the length of the longest side?

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides = 95 m

4u + 6u + 9u = 95

19u = 95

u = 95 : 19

u = 5 meters

Longest side = 9 units

Length of the longest side = 9 (5) = 45m