Question 168065
The base of a triangle is 4 cm greater than the height. The area is 48 cm2. Find the height and the length of the base.
.
{{{A[T]=(1/2)bh}}}
But,{{{b=h+4cm}}}
Then,
{{{48=(1/2)(h+4)(h)}}}
{{{48*2=h^2+4h}}}
{{{h^2+4h-96=0}}},factor out perfect square
{{{(h+12)(h-8)=0}}}
ANSWERS: {{{highlight(h=8cm)}}}; {{{h=-12}}}
{{{Height=8cm}}}
{{{Base=8+4=12cm}}}
check,
{{{48=(1/2)(12)(8)}}}
{{{48=(1/2)96}}}
{{{48cm=48cm}}}
Thank you,
Jojo