Question

find the ratio of the longest side to the perimeter of the right - triangular - shaped billboard.
the ratio is
(type the ratio as a simplified fraction)

Explanation:

Step1: Find the perimeter

The perimeter \(P\) of a triangle is the sum of its sides. Here, the sides are \(5\) feet, \(12\) feet, and \(13\) feet.
\(P=5 + 12+13\)
\(P = 30\) feet.

Step2: Determine the ratio

The longest side \(l = 13\) feet. The ratio of the longest side to the perimeter is \(\frac{l}{P}\).
Substitute \(l = 13\) and \(P = 30\) into the ratio formula: \(\frac{13}{30}\).

Answer:

\(\frac{13}{30}\)