Answer:
The equations are:
[tex]m^2 = p^2 + z^2[/tex] [tex]m^2 = z^2 + p^2[/tex]
[tex]z^2 + p^2 = m^2[/tex] [tex]p^2 + z^2 = m^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Select all true equations
From the attachment:
[tex]m = hypotenuse[/tex]
[tex]p\ and\ z = other\ legs[/tex]
Using Pythagoras theorem:
[tex]m^2 = p^2 + z^2[/tex]
This can be rewritten as:
[tex]m^2 = z^2 + p^2[/tex]
or
[tex]z^2 + p^2 = m^2[/tex]
or
[tex]p^2 + z^2 = m^2[/tex]