Question

The perimeter of a triangle is 48 inches and the sides are in the ratio of 3:4:5. How do you find the length of the longer?

Answer 1

The length of the longest `=20" "`inches

Explanation:

For the given Perimeter `P=48`

Let us assign a variable `x` so that we set up the equation like

`3x+4x+5x=48`

`12x=48`

`x=48/12`

`x=4`

Take note that here are the sides

`3x=3(4)=12`
`4x=4(4)=16`
`5x=5(4)=20`

the longest is `20" "`inches

God bless....I hope the explanation is useful.

Answer 2

Length of longer side is `20` inches

Explanation:

As the sides are in the ratio of `3:4:5`, let the sides be

`3x`, `4x` and `5x`.

As perimeter is `48` inches

`3x+4x+5x=48` or `12x=48` or `x=48/12=4`

Hence three sides are `3xx4=12`, `4xx4=16` and `4xx5=20`

Hence length of longer side is `20` inches