Question 950228
The area of a triangle is 140 square feet.If the height is 7 more than the base, find the length of the height and base of the triangle. 
b=base; h=heught=b+7; a=1/2bh
a=1/2bh
{{{140 sq ft=1/2bh}}} Multiply each side by 2.
{{{280 sq ft=bh}}} Substitute for h
{{{280 sq ft=b(b+7)}}}
{{{280 sq ft=b^2+7b}}} Subtract 280 sq ft from each side
{{{0=b^2+7b-280 sq ft}}}*[invoke quadratic "b", 1, 7, -280 ]
b=13.595 feet
h=b+7=13.595+7=20.595
CHECK:
a=1/2bh
280 sq ft=1/2(13.595)(20.595)
280 sq ft=280 sq ft