Question

Angelica uses the point to represent the location of her house and uses the point to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.

Answer:
Distance for leg a? _____________________



Distance for leg b?______________________


Fill in the distances below and use the formula to solve for c. a^2+b^2=c^2

C=____________________________

Will give brainliest if you answer all questions with work shown!

Answer 1

I am going to assume that leg a:

  ⇒ is the horizontal distance between the house and the gas station

     ⇒ Distance for leg a: 6 miles

I am also going to assume that leg b

  ⇒ is the vertical distance between the house and gas station

     ⇒ Distance for leg b: 5 miles

Thus using the Pythagorean theorem: $a^2+b^2=c^2$

   ⇒ (look at diagram attached for further explanation)

   $a^2+b^2=c^2\\\\6^2+5^2=c^2\\c=\sqrt{6^2+5^2} \\c=\sqrt{61} =7.81$

Answer: 7.81

Hope that helps!