Joel wants to fence off a triangular portion of his yard for his chickens. the three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long. 1. will he be able to make a right triangle out of his fence? why or why not? 2. joel cut the longest piece of wood in order to make a right triangle. if it takes him 30 seconds to install each foot of fencing, how many total minutes will it take him to install all of the fence?

He needs 20 minutes to install all of the fence.

Step-by-step explanation:

Since we have given that

Dimensions of 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 "Pythagorus theorem" which states that

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

So, Longest side must be 17 feet.

It is takes him 30 seconds to install each foot of fencing,

Total perimeter of fencing will be

So, for 1 foot he needs = 30 seconds

For 40 feet , he will need

Hence, he needs 20 minutes to install all of the fence.