SOLUTION: (2 points) Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find its base and

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: (2 points) Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find its base and       Log On

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Question 22843: (2 points) Great white sharks have triangular teeth with a height that is 1 centimeter longer than the base. If the area of one tooth is 15 square centimeters, find its base and height.



Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%29%28x%2B1%29=15
x%5E2%2Bx=15%282%29
x%5E2%2Bx-30=0
Use Quadratic formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=1, c=-30
x+=+%28-1+%2B-+sqrt%28+1%5E2-4%281%29%28-30%29+%29%29%2F2%281%29%29+
x+=+%28-1+%2B-+sqrt%28+1%2B120+%29%29%2F2%29
ADD: x+=+%28-1+%2B+sqrt%28121%29%2F2%29
x = 5
5+1=6
Hence, the base of the teeth is 5cm and the hieght is 6cm.