# How would you show that a triangle with vertices (13,-2), (9,-8), (5,-2) is isosceles?

##### 3 Answers

#### Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:

The distance between B and C:

The distance between A and C is 8 as they are both on -2 for

see below

#### Explanation:

An isosceles triangle is one with two equal lengths.

To find the lengths of the sides with coordinates

from the information given

we see

since we have two equal sides the triangle with the given vertices is isosceles

Below

#### Explanation:

One way of proving that it is an isosceles triangle is by calculating the length of each side since two sides of equal lengths means that it is an isosceles triangle.

Length of

=

=

=

=

Length of

=

=

=

=

Length of

=

=

=

From the above calculations, you'll notice that length of