Question 916909
<i>The height of a triangle is k cm more than m times the length of the base. The area of the triangle is A cm(squared). Find the height of the triangle.</i>


Area formula:  {{{(1/2)bh=A}}}
A, area
b, base
h, height
Description:  {{{h=k+mb}}}



STEPS FOR SOLUTION IN SYMBOLIC FORM
{{{h-k=mb}}}
{{{b=(h-k)/m}}}
-
{{{(1/2)((h-k)/m)h=A}}}


{{{(h-k)h=A*2*m}}}
{{{h^2-kh-2mA=0}}}
You can continue purely in symbolic form or you could substitute the given values now.


{{{h^2-4h-2*2*35=0}}}
{{{h^2-4h-140=0}}}
{{{(h+10)(h-14)=0}}}
Two solutions to the equation.
{{{h=-10}}} makes no meaningful sense.
{{{highlight(h=14)}}}.