Math, we got problems

Basket Ball Challenge

BY Jack Aguirre and Brian valasco

**A basketball player has mad a shot from the center of the circle on the division line on the court. he challenges another player to make a slimier shot from the division line along the sidelines. **

**1# First we will explain way this is NOT a fair challenge and explain this with Qualitative and Quantitative evidence and facts?**

2# Next Determinant how much farther away from the basket the challenger is?

3# lastly we will calculate the total distance of the original challenger.

**1# First we will explain way this is NOT a fair challenge and explain this with Qualitative and Quantitative evidence and facts?**

Now, we Know that from the out of bounds to the half court is 37 Feet and 50 Feet from the sidelines. These coordanuts make a triangle and a diagonal shooting path for the challenged and the shortlist distance from point A to point B is a straight. So we know that distance that the original challenger shot was 37 Feet but to find out what the distance that the challenged will have to shoot from we must perform Pythagorean therom by taking the two sides we know A and B and squaring and adding them to get C2/ C squared are answered but because we know that there is added distance from moving to the side lines proves that the challenge is not a fair one for the challenged because it is a farther shot.

2# Next Determinant how much farther away from the basket the challenger is?

Now using Pythagorean theorem we will find the total distance of the challenged shot. First we set up the equation A(2) + B(2) = C(2). in this problem A will be a width 37Ft and B will be are length 50Ft and are answer will be C lets plug in the numbers

A(2)+B(2)=C(2)

^

37ft(37)+50ft(50)=C(C)

^

1369+2500=C(C)

^

3869=C(C)

^

square root of 3869= 62.20

C(2)= 62.20= the distance of the challenged shot

3# lastly we will compare the two distance and see if they match are production?

Now we know the distance of the challenged shooter (62.20ft) we can compare it to the distance of the challengers shot which is exactly 37ft we can state that this is not a fair challenge because the challenged is being asked to make a shot over twice the distance of the challengers shot and with this evidence we can prove and dismiss the legitimacy of this challenge