Question 1153299


Opposite: {{{a=2x}}}
Adjacent: {{{b=4x}}}
Hypotenuse: {{{c=15}}}

{{{c^2=a^2+b^2}}}

{{{15^2=(2x)^2+(4x)^2}}}

{{{225=4x^2+16x^2}}}

{{{225=20x^2}}}

{{{225/20=x^2}}}

{{{x^2=11.25}}}
{{{x=sqrt(11.25)}}}
{{{x=3.354}}}

=>{{{a=2*3.354=6.71}}} and {{{b=4*3.354=13.42}}}

the area of the triangle:

{{{A=(1/2)ab}}}
{{{A=(1/2)6.71*13.42}}}
{{{A=45.01068}}}
{{{A=45m^2}}}


answer: e) 45 m-> must be {{{m^2}}}, it's area

e) {{{45m^2}}}