Question

Given a triangle with vertices at z one = 1+3i, z two = 4+5i, and z three = 3+7i. Solve the triangle.

Answer 1

This is on the imaginary plane, which looks like this

Answer 2

So, The cooridinate are (Re(one),Im(one)); (Re(two),Im(two)); (Re(three),Im(three))

Answer 3

coordinates*

Answer 4

so:
one (1,3)
two (4,5)
three (3,7)

Answer 5

okay

Answer 6

what are you solving

Answer 7

Thank you so much ASninja. I need to solve the triangle for all three sides and its angles. Where do I go from here?

Answer 8

use the distance formula for the sides

Answer 9

then law of cosines for the angles

Answer 10

Okay. Perfect. Thank you so much. I really appreciate it! (: