Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The distance covered by the ball will be equal to 35 feet.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
As given that Your friend runs 16 feet forward and then 12 feet right. At the same time, you run 12 feet forward and then 9 feet right. Therefore, the distance that is convered by you two can be drawn as shown below.
Now as you throw the ball it will travel along the blue line as shown below. Therefore, the distance that will be covered by the baseball can be written as,
[tex]AE = AC+CE[/tex]
The value of AC in ΔABC can be written as,
[tex]AC^2=AB^2+CB^2\\AC^2=12^2+16^2\\AC^2 = 144 + 256\\AC^2 = 400\\AC=20[/tex]
The value of CE in ΔCDE can be written as,
[tex]CE^2=CD^2+DE^2\\CE^2=12^2+9^2\\CE^2=144+81\\CE^2=225\\CE=15[/tex]
Combining the value of AC and CE, we will get,
[tex]AE = AC+CE\\AE = 20+15\\AE = 35[/tex]
Hence, the distance covered by the ball will be equal to 35 feet.
Learn more about Pythagoras Theorem:
https://brainly.com/question/14461977
