Respuesta :

TheLazyNobita

Length of perpendicular by pythagoras theorem :

P² = H² - B²

P² = 3² - 1²

P² = 9 - 1

P² = 8

P = 2√2

Answer:

[tex]b=2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2.[/tex]

[tex]c^2-a^2=b^2.[/tex]

[tex]3^2-1^2=b^2.[/tex]

[tex]9-1=b^2.[/tex]

[tex]b^2=8[/tex]

[tex]b=\sqrt{8}[/tex]

[tex]b=\sqrt{2(4)}[/tex]

[tex]b=2\sqrt{2}[/tex]

Hope this helps!