HELP!! I WILL MARK FIRST RIGHT PERSON BRAINIEST!!!!!!!! Dana walks to the store from the park, it is 8 blocks south and 6 blocks west using city streets. She found a short cut that used a diagonal by cutting through the woods that the streets surrounded. How far did she have to walk using the shortcut?

Respuesta :

Answer:

10 blocks

Step-by-step explanation:

South and West are perpendicular to each other, meaning they form a right angle. With the diagonal intersecting with each of the corners, we can form a right triangle. We can use Pythagorean Theorem (a^2 + b^2 = c^2) to find that 8^2 + 6^2 = (diagonal)^2.    8^2 + 6^2 = 100. The square route of 100 is 10, meaning Dana would have to walk 10 blocks.