SOLUTION: The base of a triangle is 3 feet less than the height. If the base is increased by 6 feet, the area is increased by 30 feet. Find the base and the height of the original triangle.

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Question 1067126: The base of a triangle is 3 feet less than the height. If the base is increased by 6 feet, the area is increased by 30 feet. Find the base and the height of the original triangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Original triangle
base b
height h
base b=h-3
area %281%2F2%29%28h-3%29h


Increased base, new triangle
area %281%2F2%29%28h-3%2B6%29h
%281%2F2%29%28h%2B3%29h


New triangle is area 30 square feet more.
highlight_green%28%281%2F2%29%28h%2B3%29h-%281%2F2%29%28h-3%29h=30%29

h%5E2%2B3h-%28h%5E2-3h%29=60
6h=60
highlight%28h=10%29
-
b=h-7
highlight%28b=7%29