Question

Benjamin is putting a fence around a right triangular garden. He has already used 12 ft of

Answer 1

Answer:

Benjamin need 28.39 feet of fencing for the longest  side

Step-by-step explanation:

Let

x ---->  the longest  side of the right triangular garden (hypotenuse of the right triangle)

we know that

In the right triangular garden

$cos(65^o)=\frac{12}{x}$ ----> by CAH (adjacent side divided by the hypotenuse)

see the attached figure to better understand the problem

solve for x

$x=\frac{12}{cos(65^o)}$

$x=28.39\ ft$