SOLUTION: Hi, Thank you for the help. Layout for a soccer field: side A is 36' side B is 84'. A & B meet at 90o angle. what is the length of side C? Also like to know the formula fo

Algebra ->  Triangles -> SOLUTION: Hi, Thank you for the help. Layout for a soccer field: side A is 36' side B is 84'. A & B meet at 90o angle. what is the length of side C? Also like to know the formula fo      Log On


   



Question 193233: Hi,
Thank you for the help.
Layout for a soccer field: side A is 36' side B is 84'. A & B meet at 90o angle. what is the length of side C?
Also like to know the formula for determining the length. thanks! This is a real life scenario.
Gary B.

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
We are required to solve a right triangle. So apply the Pythagorean Theorem to it.
The theorem states that the sum of the squares of the two legs a aand b is equal to the square of the hypotenuse c. Or a%5E2+%2B+b%5E2+=+c%5E2

Here we are given
One leg = 36
Another leg = 84
We are required to find the length of the hypotenuse
According to the Theorem,
c%5E2+=+36%5E2+%2B+84%5E2
=1296%2B7056
=8352
So
c = sqrt%288352%29
= 91