Question

If Alberto's school is 3 miles due south of his house and 4 miles due west of Jimmy's house, what is the straight line distance between Alberto's house and Jimmy's house?

Answer 1

using the Pythagorean Thereom:

3^2 +4^2 = X^2

9 +16 = 25

x^2 = 25

X = sqrt (25)

x = 5

 it would be 5 miles

Answer 2

Answer:

5 miles

Step-by-step explanation:

Going 3 miles due south and 4 miles due east (since school is 4 miles west of Jimmy's house, this means Jimmy's house is due east of the school) forms the legs of a right triangle.

To find the missing side length of a right triangle, we use the Pythagorean theorem:

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

The opposite of "squared" is "square root":

√25 = √(c²)

5 = c