To use the Pythagorean Theorem, we need to know the coordinates of Emma's house and the library. Let's assume Emma's house is at point A(0,0) and the library is at point B(7,6).
The distance between two points can be found using the formula:
distance = sqrt((x2-x1)^2 + (y2-y1)^2)
In this case:
x1 = 0, y1 = 0 (Emma's house)
x2 = 7, y2 = 6 (library)
Now, plug the values into the formula:
distance = sqrt((7-0)^2 + (6-0)^2)
distance = sqrt(7^2 + 6^2)
distance = sqrt(49 + 36)
distance = sqrt(85)
Therefore, the distance from Emma's house to the library is sqrt(85), which is option D.
Use the Pythagorean Theorem to find the distance from Emma's house to the library.
A sqrt(119)
B sqrt(130)
C sqrt(54)
D sqrt(85)
1 answer