# Thread: Final Review word poblem

1. ## Final Review word poblem

Hi guys, I am the worst at word problems. I don't even know how to start this. Here is the question:

two postitive number a and b are to be chosen so that the line segment connecting (a,0( and (o,b) has a length of 10. find the values of a and b so that he area of the triangle with verticies (0,0) (a,0) and (o,b) is maximum.

any help is appreciated.

2. Originally Posted by BNsand210
Hi guys, I am the worst at word problems. I don't even know how to start this. Here is the question:

two postitive number a and b are to be chosen so that the line segment connecting (a,0( and (o,b) has a length of 10. find the values of a and b so that he area of the triangle with verticies (0,0) (a,0) and (o,b) is maximum.

any help is appreciated.
$\displaystyle a^2 + b^2 = 100$

$\displaystyle b = \sqrt{100-a^2}$

$\displaystyle A = \frac{1}{2}ab$

$\displaystyle A = \frac{1}{2}a\sqrt{100-a^2}$

determine $\displaystyle A'$ and find the value of $\displaystyle a$ that maximizes the area of the triangle