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