Question

three baseball players are playing catch. zach is 6 meters south of javier and 8 meters west of erin. how far does javier need to throw the ball to get it to erin? meters

Explanation:

Step1: Identify right - triangle sides

The distance between Zach and Javier is one leg ($a = 6$ meters) and the distance between Zach and Erin is the other leg ($b = 8$ meters) of a right - triangle. The distance between Javier and Erin is the hypotenuse $c$.

Step2: Apply Pythagorean theorem

The Pythagorean theorem is $c^{2}=a^{2}+b^{2}$. Substitute $a = 6$ and $b = 8$ into the formula: $c^{2}=6^{2}+8^{2}=36 + 64=100$.

Step3: Solve for $c$

Take the square root of both sides of the equation $c^{2}=100$. So, $c=\sqrt{100}=10$.

Answer:

10