SOLUTION: find the exact area of a triangle whose side lengths are the roots of x^3-18x+105x-200

SOLUTION: find the exact area of a triangle whose side lengths are the roots of x^3-18x+105x-200

Algebra.Com

Question 1000047: find the exact area of a triangle whose side lengths are the roots of
x^3-18x+105x-200
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If you factor this you will get
x^3-18x+105x-200 = (x-8)(x-5)(x-5)
Setting this equal to zero, yields side lengths of 5 and 8.
Since A = (1/2)bh = (1/2)(5)(8) = 20
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