Originally Posted by herzzreh
If I have a right angle triangle and I know the x and y dimentions, how do I calculate the height from the base to the slope along a certain point on the slope?
If I understand your question correctly, if you pick a point on the base and go straight up until you reach the hypotenuse you will create a new right triangle that has the same relationship as your original triangle. So if you know what the length of your new base is you can take it as a fraction of your original base and use that fraction to determine the height of your new triangle.
For instance, say you have a 3-4-5 right triangle so that the lengths of the three sides are 3, 4, and 5. If I assume that the the side of length 3 is the base and I use a new base that is one half the length of the original I have a new base of 1.5. I can use this base and the original hypotenuse to create a new right triangle that has lengths of 1.5-2-2.5.