Plantilla:Triángulo Medianas (fórmulas prácticas)

Triángulos — Medianas ( fórmulas prácticas II )

$M_{a}={\frac {1}{2}}{\sqrt {2\left(b^{2}+c^{2}\right)-a^{2}}}$
$M_{b}={\frac {1}{2}}{\sqrt {2\left(a^{2}+c^{2}\right)-b^{2}}}$
$M_{c}={\frac {1}{2}}{\sqrt {2\left(a^{2}+b^{2}\right)-c^{2}}}$
$a={\sqrt {2\left(b^{2}+c^{2}\right)-4M_{a}^{2}}}$	$b={\sqrt {{\frac {a^{2}}{2}}-c^{2}+2M_{a}^{2}}}$	$c={\sqrt {{\frac {a^{2}}{2}}-b^{2}+2M_{a}^{2}}}$
$a={\sqrt {{\frac {b^{2}}{2}}-c^{2}+2M_{b}^{2}}}$	$b={\sqrt {2\left(a^{2}+c^{2}\right)-4M_{b}^{2}}}$	$c={\sqrt {-a^{2}+{\frac {b^{2}}{2}}+2M_{b}^{2}}}$
$a={\sqrt {-b^{2}+{\frac {c^{2}}{2}}+2M_{c}^{2}}}$	$b={\sqrt {-a^{2}+{\frac {c^{2}}{2}}+2M_{c}^{2}}}$	$c={\sqrt {2\left(a^{2}+b^{2}\right)-4M_{c}^{2}}}$
( Lados: a, b y c ) — ( Medianas: Ma, Mb y Mc )​ — ( Semilados: ma=na = ½ a , mb=nb = ½ b y mc=nc = ½ c ).