Question 212421
{{{AreaOfTriangle = (Base * Height)/2}}}
Let the height be represented by h.
You are told the base, b, is {{{h-1}}}
{{{AreaOfTriangle = (Base * Height)/2}}}
{{{AreaOfTriangle = (b * h)/2}}}
{{{AreaOfTriangle = ((h-1)* h)/2}}}
{{{6 = ((h-1)* h)/2}}}
{{{12 = (h-1)* h }}}
{{{12 = h^2 -h}}}
{{{0 = h^2 -h - 12}}}
{{{0 = (h-4)(h+3)}}}
So h is either 4 or -3
Since the height can't be negative, it must be 4
Which makes the base {{{4-1 = 3}}}
Check your answer, is the area of a triangle with a base of 3 and a height of 4 equal to 6???