SOLUTION: the base of a triangle is one less than five times the height of the triangle. the area of the triangle is 21 cm^(2). find the height and the length of the base of the triangle. (n

Question 298173: the base of a triangle is one less than five times the height of the triangle. the area of the triangle is 21 cm^(2). find the height and the length of the base of the triangle. (note: area of traingle equals one-half length of base times height.)
B=5h-1
A=21cm^2
A=1/2(b * h)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
the base of a triangle is one less than five times the height of the triangle. the area of the triangle is 21 cm^(2). find the height and the length of the base of the triangle. (note: area of traingle equals one-half length of base times height.)
.
Let h = height of triangle
then
5h-1 = base
.
(1/2)(5h-1)h = 21
(5h-1)h = 42
5h^2-h = 42
5h^2-h-42 = 0
5h^2-15h+14h-42 = 0
(5h^2-15h)+(14h-42) = 0
5h(h-3)+14(h-3) = 0
(h-3)(5h+14) = 0
h = 3 cm (height)
.
base:
5h-1 = 5(3)-1 = 15-1 = 14 cm

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