Question

Find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard

Answer 1

The given figure has a right triangle with lengths of sides 3 feet, 4 feet, 5 feet

Since the perimeter of any triangle is the sum of the lengths of its sides, then

The perimeter of the right triangle is

`\begin{gathered} P=3+4+5 \\ P=12\text{ft} \end{gathered}`

Since the length of the longest side is 5 feet, then

The ratio of the longest side to the perimeter is

`(h)/(P)=(5)/(12)`

The answer is 5/12 (5: 12)