Ineed asap! joe and raul lived in different towns and decided it would be fun to get a homing pigeon to send messages to each other. (a homing pigeon will fly to a specific place, its home, and a small message can be attached to its leg.) to drive from joe's house to raul's you need to go 6 miles north and 8 miles west. if the pigeon flies directly from one house to the other, how far does the pigeon fly to deliver the message? a. 100 miles b. 10 miles c. 28 miles d. 14 miles

The path between the two houses and the path the homing pigeon will fly form a triangle. (Shown in picture)

To solve this problem you are finding the hypotenuse of the triangle. This can be solved using the Pythagorean theorem: a^2 + b^2 = c^2

Start by identifying your variables:
a: 6 (miles north)
b: 8 (miles west)
c: miles of the homing pigeon’s path

After identifying your variables, substitute the values into your equation.
This results in:
6^2 + 8^2 = c^2

Next, square both of your a and b values by multiplying each value by temselves. 6 x 6 is 36 and 8 x 8 is 64
So...
This leaves you with:
36 + 64 = c^2

After that, add your values together to get one value on each side of the equal sign.
36 + 64 = 100
This leaves you with 100 = c^2

To find your final answer, square root both sides to isolate and solve for the c value.
The square root of 100 is 10.

So your final answer is 10 miles.
The homing pigeon will fly 10 miles between Joe and Raul’s houses.