Question

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the firmed in a diagonal line to the opposite corner. How far did the player run?

Answer 1

Answer:

The player ran approximately 119119119 meters

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the diagonal line.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a  

2

+b  

2

=c  

2

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

In this case a=64,b=100,a=64,b=100,a, equals, 64, comma, b, equals, 100, comma and c=xc=xc, equals, x.

Hint #33 / 4

\begin{aligned} 64^2+100^2 & =x^2\\ 4096+10000 & = x^2\\ 14096 & = x^2\\ \sqrt{14096} & = x\\ 118.726 & \approx x \end{aligned}  

64  

2

+100  

2

 

4096+10000

14096

14096

​  

 

118.726

​  

 

=x  

2

 

=x  

2

 

=x  

2

 

=x

≈x

​

The player ran approximately 119119119 meters.

Answer 2

Answer:

The Answer is 119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=$\sqrt{14096}$

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577