Respuesta :

Answer:

Here in diagram

  • this is a Right angled triangle
  • where
  • hypontenuse =h=52
  • Base=b=48

We need to find

  • perpendicular =p

According to Pythagorean theory

[tex]{\boxed{\sf h^2=p^2+b^2}} [/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p^2=h^2-b^2 [/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt {h^2-b^2}[/tex]

  • Substitute the values

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt{52^2-48^2}[/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt {2704-2304}[/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=\sqrt{400}[/tex]

[tex]\qquad\quad {:}\longrightarrow\tt p=20 [/tex]