# Homework Help: Proportionality of triangles problem

1. Feb 14, 2010

### darkmagic

1. The problem statement, all variables and given/known data

Is any formulas similar to that of proportionality of the triangles to proportionality of the given figure?

2. Relevant equations

3. The attempt at a solution

#### Attached Files:

• ###### curve.JPG
File size:
3.6 KB
Views:
91
2. Feb 14, 2010

### HallsofIvy

Re: proportion

Not in general, no. How is that curve defined?

3. Feb 14, 2010

### darkmagic

Re: proportion

the curve is a parabola

4. Feb 14, 2010

### CompuChip

Re: proportion

What do you mean by "proportionality"?
That if you magnify area I by some appropriate factor, that you can perfectly fit it over area II? Because that is not true.

Or do you mean: some formula for y2 / y1 given x2 / x1 (where yi is the function value on the right of area i with x-value xi)?

5. Feb 14, 2010

### darkmagic

Re: proportion

proportionality x1/x2=y1/y2

6. Feb 15, 2010

### CompuChip

Re: proportion

$$\frac{x_1}{x_2} = \frac{a x_1^2 + b x_2 + c}{a x_2^2 + b x_2 + c}$$

where $ax^2 + bx + c$ is the formula for the parabola?