Answer:
20
Step-by-step explanation:
Since we have given that
Dimensions of a triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
1) For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
[tex]H^{2} = B^{2} + P^{2}[/tex]
[tex]20^{2} = 15 + 8^{2}[/tex]
[tex]400 \neq 225 + 64[/tex]
[tex]400 \neq 289[/tex]
No, it will not be able to make a right triangle.
2) Joel cut the longest piece of wood in order to make a right triangle.
So, from above we get that
[tex]\sqrt{} 289 = 17 feet[/tex]
So, the longest side must be 17 feet.
It takes him 30 seconds to install each foot of fencing,
The total perimeter of fencing will be
17 + 15 + 8 = 40 feet
So, for 1 foot he needs = 30 seconds
For 40 feet, he will need
40 × 30 = 1,200 seconds
1200/600 = 20 minutes
Hence, he needs 20 minutes to install all of the fences.
