Maria left her house and walked two miles north then she turned and walked 3 miles west. How far is Maria from her house?

what is sqrt(3^2+2^2)

a^2 + b^2 = c^2

2^2 + 3^2 = c^2

4 + 9 = c^2

15 = c^2

3.87 = c

To find the distance Maria is from her house, we can use the Pythagorean Theorem which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the two sides are the distance Maria walked north and the distance she walked west.

Let's denote the distance Maria walked north as "x" miles and the distance she walked west as "y" miles. According to the problem, x = 2 miles and y = 3 miles.

To find the distance from Maria's house, which is the hypotenuse of the right-angled triangle formed by her northward and westward walk, we can use the formula:

Distance^2 = x^2 + y^2

Plugging in the values we have:

Distance^2 = 2^2 + 3^2
Distance^2 = 4 + 9
Distance^2 = 13

By taking the square root of both sides, we get:

Distance = √(13)

Therefore, Maria is approximately √(13) miles from her house.