Triangle abc has vertices with coordinates a(-1, -1), b(4, 0), and c(0, 4). prove that △abc is an isosceles triangle but not an equilateral triangle. [the use of the set of axes is optional.]

Step-by-step explanation:

Step-by-step explanation:

The coordinate of points given are:

A(-1,-1)

B(4, 0)

C (0,4 )

For ABC to be isosceles , then AB must be equal to BC or AB = AC

The next thing to do is to find the value of AB , BC and AC using the formula for finding distance between two points which is given by:

D =

Calculating AB first , we have

=

=

Therefore:

AB =

Calculating BC , we have :

D =

D =

D =

Therefore :

BC =

Calculating AC , we have :

D =

D =

D =

Therefore :

AC =

Since AB = AC BC then we can conclude that the triangle ABC is isosceles but not equilateral triangle

the answer is

d.

5.3066 m2

step-by-step explanation: