Question 99803
ok the area of a triangle is equal to 1/2 times base times height
{{{A=(1/2)(b)(h)}}}
or
{{{A=(bh)/2}}}
Given: area is 72 in squared
Given: height is 9 inches
Now plug in the given information and solve for base
{{{A=(bh)/2}}}
{{{72=(9b)/2}}}
multiply both sides of the equal sign by 2
{{{(72)(2)=((9b)/2)(2)}}}
{{{144=9b}}}
now divide both sides of the eual sign by 9
{{{144/9=(9b)/9}}}
{{{16=b}}}
So the base is 16 inches
Check answer using the original equation
{{{A=(bh)/2}}}
{{{72=((16)(9))/2}}}
{{{72=(144)/2}}}
{{{72=72}}}