I was given 10 bonus questions today, and I managed to solve all but three. I am completely stuck on these three: If you could get me started with hints, I would really appreciated it. Thank you.

1. The three heights of a triangle are given and they are h1, h2, and h3. Find the area of the triangle. (Though I think it's supposed to be 'length')

If it's like this...

Then I think the area is just simply...

$\displaystyle {H_3*B}/2$

Though I think I'm not comprehending the question correctly

2. Given that $\displaystyle r=10cm$, the area of the triangle is $\displaystyle 600cm^2$. The line segment AB is tangent to the circle at point P. Find the coordinates of point A, B, and P.

3. It is given that the perimeter of the rectangle ABCD is four times greater than the radius of the circle. Find the ratio of the side lengths of the rectangle. AB/AD=?

Thank you!

N