Given:
The length from the school to the house = 4 miles
The length from the park to the house = 3 miles
As shown in the figure, the three places make a right angle triangle
The length from the school to the park represents the hypotenuse of the triangle
Using the Pythagorean equation, the length from the school to the park =
[tex]\sqrt[]{4^2+3^2}=\sqrt[]{16+9}=\sqrt[]{25}=5[/tex]
So, the answer is: 5 miles
