Question

Point A(12,0) is on the x-axis and point B(0,−5) is on the y-axis. Find the distance between points A and B

Answer 1

13 units

Explanation:

You can make a right triangle with this information and use the Pythagorean theorem.

The length of the triangle would be 12 and the height would be 5

`a^(2)` +
`b^(2)` =
`c^(2)`

`12^(2)` +
`(-5)^(2)` =
`c^(2)`

144 + 25 =
`c^(2)`

169 =
`c^(2)`

`√(169)` =
`\sqrt{c^(2) }`

13 = c