Question

another triangle also has side lengths in a ratio of 3:4:5 the largest side is 30 inches. what is the perimeter of the triangle

Answer 1

Answer:

72 inches

Step-by-step explanation:

The total in ratio would be 3 + 4 + 5 = 12

The largest side is the ratio of "5". Now we can setup a proportionality and solve for other sides:

Let smallest side (3) be x and 2nd largest be (4) y. SO,

$\frac{3}{5}=\frac{x}{30}\\5x=3*30\\5x=90\\x=\frac{90}{5}\\x=18$

18 is the smallest side.

Also

$\frac{4}{5}=\frac{y}{30}\\5y=4*30\\5y=120\\y=24$

2nd largest side is 24

We know largest side is 30

Thus perimeter (sum of 3 sides) = 18 + 24 + 30 = 72 inches