Question

Hallar el valor del cateto a si se sabe qu b= 11 y c= 19

Answer 1

Aplicar pitagoras:

$c {}^{2} = a {}^{2} + b {}^{2} \\ \\ 19 {}^{2} = a {}^{2} + 11 {}^{2} \\ \\ 361 = a {}^{2} + 121 \\ \\ 361 - 121 = a {}^{2} \\ \\ 240 = a { }^{2} \\ \\ 4 \sqrt{15} = a$
El cateto a vale :
$4 \sqrt{15}$