Question

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 .

Answer 1

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`