Respuesta :

Answer:

c = 25

Step-by-step explanation:

A (-6, 5), B (-2, 4), C (-2, 5)

Form a triangle by adding a new point to the graph.

*in this case it is coordinate C

  • First step: Find the distance between points A and C

From A to C there are 4 units.

  • Second step: Find the distance between points B and C

From B to C there are 9 units

Next you need to use the pythagorean theorem to find the length of A to B

[tex]\sqrt{a} +\sqrt{b} =\sqrt{c}[/tex]

Now use the lengths you have to find the missing length.

[tex]\sqrt{4} +\sqrt{9} =\sqrt{c}[/tex]

[tex]2 + 3 = \sqrt{c} \\\\5 = \sqrt{c} \\\\(5)^{2} = (\sqrt{c} )^{2} \\\\25 = c[/tex]

C = 25 you are welcome