# 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?

The length of the longest $= 20 \text{ }$inches

#### Explanation:

For the given Perimeter $P = 48$

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

$3 x + 4 x + 5 x = 48$

$12 x = 48$

$x = \frac{48}{12}$

$x = 4$

Take note that here are the sides

$3 x = 3 \left(4\right) = 12$
$4 x = 4 \left(4\right) = 16$
$5 x = 5 \left(4\right) = 20$

the longest is $20 \text{ }$inches

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

Apr 4, 2016

Length of longer side is $20$ inches

#### Explanation:

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

$3 x$, $4 x$ and $5 x$.

As perimeter is $48$ inches

$3 x + 4 x + 5 x = 48$ or $12 x = 48$ or $x = \frac{48}{12} = 4$

Hence three sides are $3 \times 4 = 12$, $4 \times 4 = 16$ and $4 \times 5 = 20$

Hence length of longer side is $20$ inches