Answer:
[tex]7\sqrt{2}[/tex] meters
Step-by-step explanation:
The first step would be to draw a picture. We can then see that the three people are positioned in a right triangle.
Each leg of the triangle is 7 meters, and the distance between the Arianna and Nicholas is the hypotenuse of the right triangle.
This means that this distance can be solved for using the Pythagorean Theorem: [tex]a^{2}+b^{2} =c^{2}[/tex], where a and b are the legs of the triangle and c is the hypotenuse.
By plugging in numbers, we can see that:
[tex]7^{2} +7^{2} =c^{2}[/tex]
The left side of the equation can be simplified
49+49
98=c^2
This means that [tex]c=\sqrt{98}[/tex] --> to undo the c squared, you take the square root of the whole equation
This radical can be simplified by breaking 98 into its square factors
[tex]\sqrt{98}= \sqrt{7*7*2} = \sqrt{7^{2}*2} =7\sqrt{2}[/tex] meters
*and remember units on the end :)
