Question 981012

if  {{{a=6cm}}},{{{b=8cm}}},and {{{c=10cm}}}, then the length of the median to its great side is:

{{{m[c]=(1/2)sqrt(2a^2+2b^2-c^2)}}}

{{{m[c]=(1/2)sqrt(2(6cm)^2+2(8cm)^2-(10cm)^2)}}}

{{{m[c]=(1/2)sqrt(2*36cm^2+2*64cm^2-100cm^2)}}}

{{{m[c]=(1/2)sqrt(72cm^2+128cm^2-100cm^2)}}}

{{{m[c]=(1/2)sqrt(72cm^2+28cm^2)}}}

{{{m[c]=(1/2)sqrt(100cm^2)}}}

{{{m[c]=(1/2)10cm}}}

{{{m[c]=5cm}}}

so, answer is (c) {{{5cm}}}