The lengths of the sides of a triangle are in the extended ratio 3:5:6. The perimeter of the triangle is 98 in. What is the length of the longest side?

Answer 1

3x+5x+6x=98 Combine like terms

14x=98 Divide both sides by 14

x=7

The longest side would be 6x = 6(7 )= 42 inches

Answer 2

3X+5X+6X=98

14X=98

X=98/14

X=7

First side of the triangle is 3x7=21

Second side - 5x7=35

Third side's lenght is - 6x7=42

Now let's check the equation 21+35+42=98