Question

What is the distance between A(0,5) and B(5,-7)

Answer 1

Answer: The distance between A(0,5) and B(5,-7) is 13

Explanation: To find the answer use the Pythagorean theorem.
`a^(2) +b^(2) =c^(2)` To find a and b in the equation, you need to find the distance for x and y on the graph. The distance from 0 to 5 is 5, so 5=a. The distance from 5 to -7 is 12, so 12=b. so we get
`5^(2) +12^(2) =c^(2)`. Which ends up becoming
`25+144=c^(2)`.
`169=c^(2)`. Now that we have this equation, we need to square 169 to find the distance between the two points.
`√(169)=13` so 13=c. Therefore 13 is the distance between points A and B.