The lengths of sides of a triangle are in the ratio of 3 to 5 to 6. If the perimeter of the triangle is 70, what is the length of the longest side?
A
10
B
15
C
25
D
30
Correct Answer: 30
Let the sides of the triangle are 3x,5x and 6x Given perimeter(3x + 5x + 6x) = 70 = > 14x = 70 ∴ x = 5 So longest side of the triangle is 6 = 6×5 = 30