SOLUTION: Define all variable in words. Write two algebraic equations. Solve the system of equation by substitution. Check your response The area of A certain triangle is 56inches^2. The

Algebra ->  Triangles -> SOLUTION: Define all variable in words. Write two algebraic equations. Solve the system of equation by substitution. Check your response The area of A certain triangle is 56inches^2. The      Log On


   

Question 919590: Define all variable in words.
Write two algebraic equations.
Solve the system of equation by substitution.
Check your response
The area of A certain triangle is 56inches^2. The altitude of the triangle measures two inches less than double the measure of the base of that triangle. Please use algebraic method to determine:(A) measures of altitude of triangle? (B) measure of base of triangle.


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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The area of A certain triangle is 56inches^2. The altitude of the triangle measures two inches less than double the measure of the base of that triangle. Please use algebraic method to determine:
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height = 2*base-2
Area = (1/2)(base)(height)
56 = (1/2)(b)(2b-2)
56 = (1/2)b(2)(b-1)
56 = b(b-1)
b^2 -b - 56 = 0
(b-8)(b+7) = 0
Positive solution::
base = 8 inches
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(A) measures of altitude of triangle?
height = 2b-2 = 16-2 = 14 inches
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(B) measure of base of triangle.
base = 8 inches
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Cheers,
Stan H.
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