M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z .

Question

asked Mar 4, 2022 215k views

1 Answer

Owen Davey · Answer 1 · 2022-03-11T18:19:49+0000

Answer:

The equations are:

m^2 = p^2 + z^2
m^2 = z^2 + p^2

z^2 + p^2 = m^2
p^2 + z^2 = m^2

Explanation:

Given

See attachment for triangle

Required

Select all true equations

From the attachment:

m = hypotenuse

$p\ and\ z = other\ legs$

Using Pythagoras theorem:

m^2 = p^2 + z^2

This can be rewritten as:

m^2 = z^2 + p^2

or

z^2 + p^2 = m^2

or

p^2 + z^2 = m^2