SOLUTION: The area of a tringular sign is 33 squared meters The base of the tringle is 1 meter less than double the altitude. What is the base and height of the triangle

Question 264673: The area of a tringular sign is 33 squared meters The base of the tringle is 1 meter less than double the altitude. What is the base and height of the triangle
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
Use formula where b=base h=hieght and a=area
a=33

b=2h-1

Follow the solver below to get h=(6 or -5)
b=2h-1

b=2h-1

either (b=13)&(h=6) or (b=-12)&(h=-5.5)
.
Checking answers

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=529 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 6, -5.5. Here's your graph:

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