SOLUTION: Constructing Functions: Consider a right triangle with side length s and s+1, and s+2. Call the perimeter P and the area A.
a) Write A as a function of s.
b) Can you write s
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Question 1190261: Constructing Functions: Consider a right triangle with side length s and s+1, and s+2. Call the perimeter P and the area A.
a) Write A as a function of s.
b) Can you write s as a function of A?
c) Write P as a function of s.
d) Can you write s as a function of P? If possible, do it. If not, explain why not
e) Can you write A as a function of P? If possible, do it. If not, explain why not
f) What are the possible value for s? Explain
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
The area of a right triangle is the product of the two short sides divided by 2.
\ =\ \frac{s(s\,+\,1)}{2})
Since a negative value for the measure of the side of a triangle is absurd, discard the negative value of 
\ =\ \frac{-1\ +\ \sqrt{1\ +\ 8A}}{2})
\ =\ s\ +\ s\ +\ 1\ +\ s\ +\ 2\ =\ 3s\ +\ 3)
\ =\ \frac{P\ -\ 3}{3})
\ =\ 3\(\frac{-1\ +\ \sqrt{1\ +\ 8A}}{2}\)\ +\ 3)
John
My calculator said it, I believe it, that settles it
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