# Question: in this exercise we use the distance formulaa show that...

###### Question details

In this exercise we use the Distance Formula.(a) Show that the points (5, 1) and (1, 5) are the same distance from the origin.

The distance from the point (5, 1) to the origin is | . |

The distance from the point (1, 5) to the origin is | . |

(b) Show that the points (*a*, *b*) and (*b*,
*a*) are the same distance from the origin.

The distance from the point (a, b) to the origin is | . |

The distance from the point (b, a) to the origin is | . |