SOLUTION: Please help, A triangular area is 12 sq. ft. Find the base of the triangular area if the height is 1 ft. less than the base. I tried let b = base, h(height)=b-1 12=1/2b(b-1) (1

Question 300049: Please help, A triangular area is 12 sq. ft. Find the base of the triangular area if the height is 1 ft. less than the base. I tried
let b = base, h(height)=b-1
12=1/2b(b-1)
(12)2=(1/2)2(b)2(b-1)2
24=4b-2
then im lost
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A triangular area is 12 sq. ft.
Find the base of the triangular area if the height is 1 ft. less than the base.
:
12=1/2b(b-1)
(12)2=(1/2)2(b)2(b-1)2
Right here you should have:
24 = b^2 - b
b^2 - b - 24 = 0; a quadratic equation
This will not factor, use the quadratic formula

in this equation, x=b; a=1; b=-1; c=-24

positive solution

b =
b = 5.42 ft is the base
and
4.42 ft is the height
:
:
Check solution by finding the area
A = *5.42*4.42
A = 11.97 ~ 12
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