dHello, reiward!

HallsofIvy gave you an excellent game plan for Problem #3.

Did you follow it?

3. One of the legs of a right triangle has a length of 4cm.

Express the length of the altitude perpendicular to the hypotenuse

as a function of the length of the hypotenuse. Code:

C
o
*| *
* | *
* | *
4 * |y *
* | *
* | *
* | *
A o * * * o * * * * * * * o B
: x D h-x :
: - - - - h - - - - - - :

We have right triangle

Let , the hypotenuse.

Let , atitude to hypotenuse.

Let

We find that: .

Hence: . .[1]

In

Substitute into [1]: .

. .

. .

. .

Therefore: .