Question

The triangle with the vertices (-2,4), (0,0), (5,-1)

Answer 1

Answer:

The coordinates of the triangle are:

A(-2,4),  B(0,0) and C(5,-1)

Now what?

what is to be calculated?

Answer 2

Answer:

The triangle formed with the given vertices is a scalene triangle.

Step-by-step explanation:

Given the vertices a triangleABC: A(-2,4), B(0,0), C(5,-1)

The distance between two vertices is given by

                          $\sqrt[]{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }$

Therefore the length of AB is

                                  $\sqrt[]{(0-(-2) )^{2} +(0-4 )^{2} }\implies\sqrt[]{4+16}\implies\sqrt[]{20}$

the length of BC is

                                  $\sqrt[]{(5-0)^{2} +(-1-0)^{2} }\implies\sqrt[]{25+1}\implies\sqrt[]{26}$

and the length of CA is

                                  $\sqrt[]{(-2-5)^{2} +(4-(-1))^{2} }\implies\sqrt[]{49+25}\implies\sqrt[]{74}$

As all the lengths are different, the triangle is a scalene triangle.